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Finding the Fourth Proportional to 3,892.39, 5,836.60 and 1,426.57

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Solution

The fourth proportional to 3,892.39, 5,836.60 and 1,426.57 is: 2,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.39 : 5,836.60 = 1,426.57 : x
  2. Step 2: Convert to fraction form
    3,892.39/5,836.60 = 1,426.57/x
  3. Step 3: Cross multiply
    3,892.39x = 5,836.60 × 1,426.57
  4. Step 4: Simplify right side
    3,892.39x = 8,326,318.46
  5. Step 5: Solve for x
    x = 8,326,318.46/3,892.39
  6. Step 6: Final answer
    x = 2,139.13

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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.