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Finding the Fourth Proportional to 9,262.31, 12,787.94 and 8,265.87

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Solution

The fourth proportional to 9,262.31, 12,787.94 and 8,265.87 is: 11,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.31 : 12,787.94 = 8,265.87 : x
  2. Step 2: Convert to fraction form
    9,262.31/12,787.94 = 8,265.87/x
  3. Step 3: Cross multiply
    9,262.31x = 12,787.94 × 8,265.87
  4. Step 4: Simplify right side
    9,262.31x = 105,703,470.27
  5. Step 5: Solve for x
    x = 105,703,470.27/9,262.31
  6. Step 6: Final answer
    x = 11,412.22

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1.5x scale

Why These Related Problems?

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