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Finding the Fourth Proportional to 5,136.48, 7,704.72 and 3,678.48

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Solution

The fourth proportional to 5,136.48, 7,704.72 and 3,678.48 is: 5,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.48 : 7,704.72 = 3,678.48 : x
  2. Step 2: Convert to fraction form
    5,136.48/7,704.72 = 3,678.48/x
  3. Step 3: Cross multiply
    5,136.48x = 7,704.72 × 3,678.48
  4. Step 4: Simplify right side
    5,136.48x = 28,341,658.43
  5. Step 5: Solve for x
    x = 28,341,658.43/5,136.48
  6. Step 6: Final answer
    x = 5,517.72

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Similar ratio
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1.5x scale

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.