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Finding the Fourth Proportional to 31,876.17, 43,988.49 and 17,728.71

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Solution

The fourth proportional to 31,876.17, 43,988.49 and 17,728.71 is: 24,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.17 : 43,988.49 = 17,728.71 : x
  2. Step 2: Convert to fraction form
    31,876.17/43,988.49 = 17,728.71/x
  3. Step 3: Cross multiply
    31,876.17x = 43,988.49 × 17,728.71
  4. Step 4: Simplify right side
    31,876.17x = 779,859,182.55
  5. Step 5: Solve for x
    x = 779,859,182.55/31,876.17
  6. Step 6: Final answer
    x = 24,465.27

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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.