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Finding the Fourth Proportional to 3,425.73, 5,138.61 and 1,867.29

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Solution

The fourth proportional to 3,425.73, 5,138.61 and 1,867.29 is: 2,800.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.73 : 5,138.61 = 1,867.29 : x
  2. Step 2: Convert to fraction form
    3,425.73/5,138.61 = 1,867.29/x
  3. Step 3: Cross multiply
    3,425.73x = 5,138.61 × 1,867.29
  4. Step 4: Simplify right side
    3,425.73x = 9,595,275.07
  5. Step 5: Solve for x
    x = 9,595,275.07/3,425.73
  6. Step 6: Final answer
    x = 2,800.94

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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.