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Finding the Fourth Proportional to 42,534.53, 63,811.04 and 12,951.60

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Solution

The fourth proportional to 42,534.53, 63,811.04 and 12,951.60 is: 19,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,534.53 : 63,811.04 = 12,951.60 : x
  2. Step 2: Convert to fraction form
    42,534.53/63,811.04 = 12,951.60/x
  3. Step 3: Cross multiply
    42,534.53x = 63,811.04 × 12,951.60
  4. Step 4: Simplify right side
    42,534.53x = 826,454,834.47
  5. Step 5: Solve for x
    x = 826,454,834.47/42,534.53
  6. Step 6: Final answer
    x = 19,430.21

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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.