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Finding the Fourth Proportional to 2,387.88, 3,581.82 and 656.52

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Solution

The fourth proportional to 2,387.88, 3,581.82 and 656.52 is: 984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.88 : 3,581.82 = 656.52 : x
  2. Step 2: Convert to fraction form
    2,387.88/3,581.82 = 656.52/x
  3. Step 3: Cross multiply
    2,387.88x = 3,581.82 × 656.52
  4. Step 4: Simplify right side
    2,387.88x = 2,351,536.47
  5. Step 5: Solve for x
    x = 2,351,536.47/2,387.88
  6. Step 6: Final answer
    x = 984.78

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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.