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Finding the Fourth Proportional to 3,257.76, 4,863.84 and 2,981.28

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Solution

The fourth proportional to 3,257.76, 4,863.84 and 2,981.28 is: 4,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.76 : 4,863.84 = 2,981.28 : x
  2. Step 2: Convert to fraction form
    3,257.76/4,863.84 = 2,981.28/x
  3. Step 3: Cross multiply
    3,257.76x = 4,863.84 × 2,981.28
  4. Step 4: Simplify right side
    3,257.76x = 14,500,468.92
  5. Step 5: Solve for x
    x = 14,500,468.92/3,257.76
  6. Step 6: Final answer
    x = 4,451.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.