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Finding the Fourth Proportional to 1,136.85, 1,575.44 and 1,114.98

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Solution

The fourth proportional to 1,136.85, 1,575.44 and 1,114.98 is: 1,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.85 : 1,575.44 = 1,114.98 : x
  2. Step 2: Convert to fraction form
    1,136.85/1,575.44 = 1,114.98/x
  3. Step 3: Cross multiply
    1,136.85x = 1,575.44 × 1,114.98
  4. Step 4: Simplify right side
    1,136.85x = 1,756,578.52
  5. Step 5: Solve for x
    x = 1,756,578.52/1,136.85
  6. Step 6: Final answer
    x = 1,545.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.