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Finding the Fourth Proportional to 9,761.97, 13,471.52 and 5,285.72

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Solution

The fourth proportional to 9,761.97, 13,471.52 and 5,285.72 is: 7,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.97 : 13,471.52 = 5,285.72 : x
  2. Step 2: Convert to fraction form
    9,761.97/13,471.52 = 5,285.72/x
  3. Step 3: Cross multiply
    9,761.97x = 13,471.52 × 5,285.72
  4. Step 4: Simplify right side
    9,761.97x = 71,206,689.94
  5. Step 5: Solve for x
    x = 71,206,689.94/9,761.97
  6. Step 6: Final answer
    x = 7,294.30

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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.