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Finding the Fourth Proportional to 2,487.62, 3,731.80 and 756.38

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Solution

The fourth proportional to 2,487.62, 3,731.80 and 756.38 is: 1,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.62 : 3,731.80 = 756.38 : x
  2. Step 2: Convert to fraction form
    2,487.62/3,731.80 = 756.38/x
  3. Step 3: Cross multiply
    2,487.62x = 3,731.80 × 756.38
  4. Step 4: Simplify right side
    2,487.62x = 2,822,658.88
  5. Step 5: Solve for x
    x = 2,822,658.88/2,487.62
  6. Step 6: Final answer
    x = 1,134.68

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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.