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Finding the Fourth Proportional to 2,687.40, 4,031.22 and 739.52

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Solution

The fourth proportional to 2,687.40, 4,031.22 and 739.52 is: 1,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.40 : 4,031.22 = 739.52 : x
  2. Step 2: Convert to fraction form
    2,687.40/4,031.22 = 739.52/x
  3. Step 3: Cross multiply
    2,687.40x = 4,031.22 × 739.52
  4. Step 4: Simplify right side
    2,687.40x = 2,981,167.81
  5. Step 5: Solve for x
    x = 2,981,167.81/2,687.40
  6. Step 6: Final answer
    x = 1,109.31

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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.