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Finding the Fourth Proportional to 10,447.17, 15,656.02 and 5,769.28

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Solution

The fourth proportional to 10,447.17, 15,656.02 and 5,769.28 is: 8,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.17 : 15,656.02 = 5,769.28 : x
  2. Step 2: Convert to fraction form
    10,447.17/15,656.02 = 5,769.28/x
  3. Step 3: Cross multiply
    10,447.17x = 15,656.02 × 5,769.28
  4. Step 4: Simplify right side
    10,447.17x = 90,323,934.22
  5. Step 5: Solve for x
    x = 90,323,934.22/10,447.17
  6. Step 6: Final answer
    x = 8,645.78

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