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Finding the Fourth Proportional to 7,732.31, 11,572.79 and 7,040.57

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Solution

The fourth proportional to 7,732.31, 11,572.79 and 7,040.57 is: 10,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.31 : 11,572.79 = 7,040.57 : x
  2. Step 2: Convert to fraction form
    7,732.31/11,572.79 = 7,040.57/x
  3. Step 3: Cross multiply
    7,732.31x = 11,572.79 × 7,040.57
  4. Step 4: Simplify right side
    7,732.31x = 81,478,945.02
  5. Step 5: Solve for x
    x = 81,478,945.02/7,732.31
  6. Step 6: Final answer
    x = 10,537.47

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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.