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Finding the Fourth Proportional to 13,650.71, 20,472.26 and 3,787.64

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Solution

The fourth proportional to 13,650.71, 20,472.26 and 3,787.64 is: 5,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.71 : 20,472.26 = 3,787.64 : x
  2. Step 2: Convert to fraction form
    13,650.71/20,472.26 = 3,787.64/x
  3. Step 3: Cross multiply
    13,650.71x = 20,472.26 × 3,787.64
  4. Step 4: Simplify right side
    13,650.71x = 77,541,531.93
  5. Step 5: Solve for x
    x = 77,541,531.93/13,650.71
  6. Step 6: Final answer
    x = 5,680.40

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1.5x scale

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.