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Finding the Fourth Proportional to 9,129, 13,691.40 and 2,555.85

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Solution

The fourth proportional to 9,129, 13,691.40 and 2,555.85 is: 3,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129 : 13,691.40 = 2,555.85 : x
  2. Step 2: Convert to fraction form
    9,129/13,691.40 = 2,555.85/x
  3. Step 3: Cross multiply
    9,129x = 13,691.40 × 2,555.85
  4. Step 4: Simplify right side
    9,129x = 34,993,164.69
  5. Step 5: Solve for x
    x = 34,993,164.69/9,129
  6. Step 6: Final answer
    x = 3,833.19

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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.