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Finding the Fourth Proportional to 9,966.36, 13,749 and 5,980.62

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Solution

The fourth proportional to 9,966.36, 13,749 and 5,980.62 is: 8,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.36 : 13,749 = 5,980.62 : x
  2. Step 2: Convert to fraction form
    9,966.36/13,749 = 5,980.62/x
  3. Step 3: Cross multiply
    9,966.36x = 13,749 × 5,980.62
  4. Step 4: Simplify right side
    9,966.36x = 82,227,544.38
  5. Step 5: Solve for x
    x = 82,227,544.38/9,966.36
  6. Step 6: Final answer
    x = 8,250.51

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Half scale
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Double scale
Find fourth proportional to 9,967.36, 13,750.38 and 5,981.62
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.