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Finding the Fourth Proportional to 30,937.72, 42,696 and 17,503.86

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Solution

The fourth proportional to 30,937.72, 42,696 and 17,503.86 is: 24,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,937.72 : 42,696 = 17,503.86 : x
  2. Step 2: Convert to fraction form
    30,937.72/42,696 = 17,503.86/x
  3. Step 3: Cross multiply
    30,937.72x = 42,696 × 17,503.86
  4. Step 4: Simplify right side
    30,937.72x = 747,344,806.56
  5. Step 5: Solve for x
    x = 747,344,806.56/30,937.72
  6. Step 6: Final answer
    x = 24,156.43

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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.