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Finding the Fourth Proportional to 31,134.88, 42,965.12 and 16,988

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Solution

The fourth proportional to 31,134.88, 42,965.12 and 16,988 is: 23,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.88 : 42,965.12 = 16,988 : x
  2. Step 2: Convert to fraction form
    31,134.88/42,965.12 = 16,988/x
  3. Step 3: Cross multiply
    31,134.88x = 42,965.12 × 16,988
  4. Step 4: Simplify right side
    31,134.88x = 729,891,458.56
  5. Step 5: Solve for x
    x = 729,891,458.56/31,134.88
  6. Step 6: Final answer
    x = 23,442.89

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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.