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Finding the Fourth Proportional to 30,759.39, 42,446.38 and 17,331.43

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Solution

The fourth proportional to 30,759.39, 42,446.38 and 17,331.43 is: 23,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,759.39 : 42,446.38 = 17,331.43 : x
  2. Step 2: Convert to fraction form
    30,759.39/42,446.38 = 17,331.43/x
  3. Step 3: Cross multiply
    30,759.39x = 42,446.38 × 17,331.43
  4. Step 4: Simplify right side
    30,759.39x = 735,656,463.72
  5. Step 5: Solve for x
    x = 735,656,463.72/30,759.39
  6. Step 6: Final answer
    x = 23,916.48

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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.