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Finding the Fourth Proportional to 2,387.85, 3,581.34 and 656.46

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Solution

The fourth proportional to 2,387.85, 3,581.34 and 656.46 is: 984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.85 : 3,581.34 = 656.46 : x
  2. Step 2: Convert to fraction form
    2,387.85/3,581.34 = 656.46/x
  3. Step 3: Cross multiply
    2,387.85x = 3,581.34 × 656.46
  4. Step 4: Simplify right side
    2,387.85x = 2,351,006.46
  5. Step 5: Solve for x
    x = 2,351,006.46/2,387.85
  6. Step 6: Final answer
    x = 984.57

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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.