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Finding the Fourth Proportional to 31,045.75, 42,841.95 and 17,616.20

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Solution

The fourth proportional to 31,045.75, 42,841.95 and 17,616.20 is: 24,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045.75 : 42,841.95 = 17,616.20 : x
  2. Step 2: Convert to fraction form
    31,045.75/42,841.95 = 17,616.20/x
  3. Step 3: Cross multiply
    31,045.75x = 42,841.95 × 17,616.20
  4. Step 4: Simplify right side
    31,045.75x = 754,712,480.96
  5. Step 5: Solve for x
    x = 754,712,480.96/31,045.75
  6. Step 6: Final answer
    x = 24,309.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.