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Finding the Fourth Proportional to 9,665.66, 13,349.14 and 7,783.49

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Solution

The fourth proportional to 9,665.66, 13,349.14 and 7,783.49 is: 10,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.66 : 13,349.14 = 7,783.49 : x
  2. Step 2: Convert to fraction form
    9,665.66/13,349.14 = 7,783.49/x
  3. Step 3: Cross multiply
    9,665.66x = 13,349.14 × 7,783.49
  4. Step 4: Simplify right side
    9,665.66x = 103,902,911.61
  5. Step 5: Solve for x
    x = 103,902,911.61/9,665.66
  6. Step 6: Final answer
    x = 10,749.69

Related Problems

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Half scale
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Double scale
Find fourth proportional to 9,666.66, 13,350.52 and 7,784.49
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.