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Finding the Fourth Proportional to 1,251.91, 1,877.73 and 929.26

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Solution

The fourth proportional to 1,251.91, 1,877.73 and 929.26 is: 1,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.91 : 1,877.73 = 929.26 : x
  2. Step 2: Convert to fraction form
    1,251.91/1,877.73 = 929.26/x
  3. Step 3: Cross multiply
    1,251.91x = 1,877.73 × 929.26
  4. Step 4: Simplify right side
    1,251.91x = 1,744,899.38
  5. Step 5: Solve for x
    x = 1,744,899.38/1,251.91
  6. Step 6: Final answer
    x = 1,393.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.