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Finding the Fourth Proportional to 9,711.75, 14,564.79 and 3,787.32

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Solution

The fourth proportional to 9,711.75, 14,564.79 and 3,787.32 is: 5,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.75 : 14,564.79 = 3,787.32 : x
  2. Step 2: Convert to fraction form
    9,711.75/14,564.79 = 3,787.32/x
  3. Step 3: Cross multiply
    9,711.75x = 14,564.79 × 3,787.32
  4. Step 4: Simplify right side
    9,711.75x = 55,161,520.46
  5. Step 5: Solve for x
    x = 55,161,520.46/9,711.75
  6. Step 6: Final answer
    x = 5,679.87

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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.