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Finding the Fourth Proportional to 2,657.60, 3,982.98 and 1,425.56

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Solution

The fourth proportional to 2,657.60, 3,982.98 and 1,425.56 is: 2,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.60 : 3,982.98 = 1,425.56 : x
  2. Step 2: Convert to fraction form
    2,657.60/3,982.98 = 1,425.56/x
  3. Step 3: Cross multiply
    2,657.60x = 3,982.98 × 1,425.56
  4. Step 4: Simplify right side
    2,657.60x = 5,677,976.97
  5. Step 5: Solve for x
    x = 5,677,976.97/2,657.60
  6. Step 6: Final answer
    x = 2,136.51

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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.