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Finding the Fourth Proportional to 2,103.92, 3,154.88 and 642.68

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Solution

The fourth proportional to 2,103.92, 3,154.88 and 642.68 is: 963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.92 : 3,154.88 = 642.68 : x
  2. Step 2: Convert to fraction form
    2,103.92/3,154.88 = 642.68/x
  3. Step 3: Cross multiply
    2,103.92x = 3,154.88 × 642.68
  4. Step 4: Simplify right side
    2,103.92x = 2,027,578.28
  5. Step 5: Solve for x
    x = 2,027,578.28/2,103.92
  6. Step 6: Final answer
    x = 963.71

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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.