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Finding the Fourth Proportional to 2,367.78, 3,551.67 and 724.31

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Solution

The fourth proportional to 2,367.78, 3,551.67 and 724.31 is: 1,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.78 : 3,551.67 = 724.31 : x
  2. Step 2: Convert to fraction form
    2,367.78/3,551.67 = 724.31/x
  3. Step 3: Cross multiply
    2,367.78x = 3,551.67 × 724.31
  4. Step 4: Simplify right side
    2,367.78x = 2,572,510.10
  5. Step 5: Solve for x
    x = 2,572,510.10/2,367.78
  6. Step 6: Final answer
    x = 1,086.47

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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.