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Finding the Fourth Proportional to 2,487.76, 3,731.64 and 756.39

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Solution

The fourth proportional to 2,487.76, 3,731.64 and 756.39 is: 1,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.76 : 3,731.64 = 756.39 : x
  2. Step 2: Convert to fraction form
    2,487.76/3,731.64 = 756.39/x
  3. Step 3: Cross multiply
    2,487.76x = 3,731.64 × 756.39
  4. Step 4: Simplify right side
    2,487.76x = 2,822,575.18
  5. Step 5: Solve for x
    x = 2,822,575.18/2,487.76
  6. Step 6: Final answer
    x = 1,134.59

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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.