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Finding the Fourth Proportional to 1,136.39, 1,702.08 and 939.15

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Solution

The fourth proportional to 1,136.39, 1,702.08 and 939.15 is: 1,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.39 : 1,702.08 = 939.15 : x
  2. Step 2: Convert to fraction form
    1,136.39/1,702.08 = 939.15/x
  3. Step 3: Cross multiply
    1,136.39x = 1,702.08 × 939.15
  4. Step 4: Simplify right side
    1,136.39x = 1,598,508.43
  5. Step 5: Solve for x
    x = 1,598,508.43/1,136.39
  6. Step 6: Final answer
    x = 1,406.66

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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.