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Finding the Fourth Proportional to 6,400.69, 9,601.04 and 1,783.69

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Solution

The fourth proportional to 6,400.69, 9,601.04 and 1,783.69 is: 2,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.69 : 9,601.04 = 1,783.69 : x
  2. Step 2: Convert to fraction form
    6,400.69/9,601.04 = 1,783.69/x
  3. Step 3: Cross multiply
    6,400.69x = 9,601.04 × 1,783.69
  4. Step 4: Simplify right side
    6,400.69x = 17,125,249.46
  5. Step 5: Solve for x
    x = 17,125,249.46/6,400.69
  6. Step 6: Final answer
    x = 2,675.53

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.