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Finding the Fourth Proportional to 1,129.14, 1,702.17 and 1,053.87

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Solution

The fourth proportional to 1,129.14, 1,702.17 and 1,053.87 is: 1,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.14 : 1,702.17 = 1,053.87 : x
  2. Step 2: Convert to fraction form
    1,129.14/1,702.17 = 1,053.87/x
  3. Step 3: Cross multiply
    1,129.14x = 1,702.17 × 1,053.87
  4. Step 4: Simplify right side
    1,129.14x = 1,793,868.33
  5. Step 5: Solve for x
    x = 1,793,868.33/1,129.14
  6. Step 6: Final answer
    x = 1,588.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.