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Finding the Fourth Proportional to 1,167.87, 1,742.24 and 1,136.09

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Solution

The fourth proportional to 1,167.87, 1,742.24 and 1,136.09 is: 1,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.87 : 1,742.24 = 1,136.09 : x
  2. Step 2: Convert to fraction form
    1,167.87/1,742.24 = 1,136.09/x
  3. Step 3: Cross multiply
    1,167.87x = 1,742.24 × 1,136.09
  4. Step 4: Simplify right side
    1,167.87x = 1,979,344.38
  5. Step 5: Solve for x
    x = 1,979,344.38/1,167.87
  6. Step 6: Final answer
    x = 1,694.83

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1.5x scale

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.