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Finding the Fourth Proportional to 3,136.52, 4,704.78 and 945.87

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Solution

The fourth proportional to 3,136.52, 4,704.78 and 945.87 is: 1,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.52 : 4,704.78 = 945.87 : x
  2. Step 2: Convert to fraction form
    3,136.52/4,704.78 = 945.87/x
  3. Step 3: Cross multiply
    3,136.52x = 4,704.78 × 945.87
  4. Step 4: Simplify right side
    3,136.52x = 4,450,105.53
  5. Step 5: Solve for x
    x = 4,450,105.53/3,136.52
  6. Step 6: Final answer
    x = 1,418.81

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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.