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Finding the Fourth Proportional to 11,402.28, 15,735 and 6,685.64

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Solution

The fourth proportional to 11,402.28, 15,735 and 6,685.64 is: 9,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.28 : 15,735 = 6,685.64 : x
  2. Step 2: Convert to fraction form
    11,402.28/15,735 = 6,685.64/x
  3. Step 3: Cross multiply
    11,402.28x = 15,735 × 6,685.64
  4. Step 4: Simplify right side
    11,402.28x = 105,198,545.40
  5. Step 5: Solve for x
    x = 105,198,545.40/11,402.28
  6. Step 6: Final answer
    x = 9,226.10

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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.