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Finding the Fourth Proportional to 3,374.40, 5,062.32 and 1,425.60

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Solution

The fourth proportional to 3,374.40, 5,062.32 and 1,425.60 is: 2,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.40 : 5,062.32 = 1,425.60 : x
  2. Step 2: Convert to fraction form
    3,374.40/5,062.32 = 1,425.60/x
  3. Step 3: Cross multiply
    3,374.40x = 5,062.32 × 1,425.60
  4. Step 4: Simplify right side
    3,374.40x = 7,216,843.39
  5. Step 5: Solve for x
    x = 7,216,843.39/3,374.40
  6. Step 6: Final answer
    x = 2,138.70

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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.