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Finding the Fourth Proportional to 10,906.77, 15,047.43 and 7,132.10

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Solution

The fourth proportional to 10,906.77, 15,047.43 and 7,132.10 is: 9,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.77 : 15,047.43 = 7,132.10 : x
  2. Step 2: Convert to fraction form
    10,906.77/15,047.43 = 7,132.10/x
  3. Step 3: Cross multiply
    10,906.77x = 15,047.43 × 7,132.10
  4. Step 4: Simplify right side
    10,906.77x = 107,319,700.27
  5. Step 5: Solve for x
    x = 107,319,700.27/10,906.77
  6. Step 6: Final answer
    x = 9,839.73

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