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Finding the Fourth Proportional to 42,534.52, 63,811.27 and 12,954.63

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Solution

The fourth proportional to 42,534.52, 63,811.27 and 12,954.63 is: 19,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,534.52 : 63,811.27 = 12,954.63 : x
  2. Step 2: Convert to fraction form
    42,534.52/63,811.27 = 12,954.63/x
  3. Step 3: Cross multiply
    42,534.52x = 63,811.27 × 12,954.63
  4. Step 4: Simplify right side
    42,534.52x = 826,651,611.73
  5. Step 5: Solve for x
    x = 826,651,611.73/42,534.52
  6. Step 6: Final answer
    x = 19,434.84

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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.