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Finding the Fourth Proportional to 1,136.52, 1,697.16 and 1,129.74

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Solution

The fourth proportional to 1,136.52, 1,697.16 and 1,129.74 is: 1,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.52 : 1,697.16 = 1,129.74 : x
  2. Step 2: Convert to fraction form
    1,136.52/1,697.16 = 1,129.74/x
  3. Step 3: Cross multiply
    1,136.52x = 1,697.16 × 1,129.74
  4. Step 4: Simplify right side
    1,136.52x = 1,917,349.54
  5. Step 5: Solve for x
    x = 1,917,349.54/1,136.52
  6. Step 6: Final answer
    x = 1,687.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.