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Finding the Fourth Proportional to 2,394.61, 3,591.92 and 1,422.61

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Solution

The fourth proportional to 2,394.61, 3,591.92 and 1,422.61 is: 2,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.61 : 3,591.92 = 1,422.61 : x
  2. Step 2: Convert to fraction form
    2,394.61/3,591.92 = 1,422.61/x
  3. Step 3: Cross multiply
    2,394.61x = 3,591.92 × 1,422.61
  4. Step 4: Simplify right side
    2,394.61x = 5,109,894.20
  5. Step 5: Solve for x
    x = 5,109,894.20/2,394.61
  6. Step 6: Final answer
    x = 2,133.92

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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.