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Finding the Fourth Proportional to 5,149.65, 7,658.22 and 4,985.62

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Solution

The fourth proportional to 5,149.65, 7,658.22 and 4,985.62 is: 7,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.65 : 7,658.22 = 4,985.62 : x
  2. Step 2: Convert to fraction form
    5,149.65/7,658.22 = 4,985.62/x
  3. Step 3: Cross multiply
    5,149.65x = 7,658.22 × 4,985.62
  4. Step 4: Simplify right side
    5,149.65x = 38,180,974.80
  5. Step 5: Solve for x
    x = 38,180,974.80/5,149.65
  6. Step 6: Final answer
    x = 7,414.29

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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.