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Finding the Fourth Proportional to 10,932.70, 15,091.02 and 6,456.47

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Solution

The fourth proportional to 10,932.70, 15,091.02 and 6,456.47 is: 8,912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.70 : 15,091.02 = 6,456.47 : x
  2. Step 2: Convert to fraction form
    10,932.70/15,091.02 = 6,456.47/x
  3. Step 3: Cross multiply
    10,932.70x = 15,091.02 × 6,456.47
  4. Step 4: Simplify right side
    10,932.70x = 97,434,610.16
  5. Step 5: Solve for x
    x = 97,434,610.16/10,932.70
  6. Step 6: Final answer
    x = 8,912.22

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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.