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Finding the Fourth Proportional to 3,172.68, 4,761.12 and 2,393.24

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Solution

The fourth proportional to 3,172.68, 4,761.12 and 2,393.24 is: 3,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.68 : 4,761.12 = 2,393.24 : x
  2. Step 2: Convert to fraction form
    3,172.68/4,761.12 = 2,393.24/x
  3. Step 3: Cross multiply
    3,172.68x = 4,761.12 × 2,393.24
  4. Step 4: Simplify right side
    3,172.68x = 11,394,502.83
  5. Step 5: Solve for x
    x = 11,394,502.83/3,172.68
  6. Step 6: Final answer
    x = 3,591.44

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1.5x scale

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.