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Finding the Fourth Proportional to 31,874.88, 43,988.96 and 17,728

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Solution

The fourth proportional to 31,874.88, 43,988.96 and 17,728 is: 24,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.88 : 43,988.96 = 17,728 : x
  2. Step 2: Convert to fraction form
    31,874.88/43,988.96 = 17,728/x
  3. Step 3: Cross multiply
    31,874.88x = 43,988.96 × 17,728
  4. Step 4: Simplify right side
    31,874.88x = 779,836,282.88
  5. Step 5: Solve for x
    x = 779,836,282.88/31,874.88
  6. Step 6: Final answer
    x = 24,465.54

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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.