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Finding the Fourth Proportional to 2,981.41, 4,472.12 and 1,248.82

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Solution

The fourth proportional to 2,981.41, 4,472.12 and 1,248.82 is: 1,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.41 : 4,472.12 = 1,248.82 : x
  2. Step 2: Convert to fraction form
    2,981.41/4,472.12 = 1,248.82/x
  3. Step 3: Cross multiply
    2,981.41x = 4,472.12 × 1,248.82
  4. Step 4: Simplify right side
    2,981.41x = 5,584,872.90
  5. Step 5: Solve for x
    x = 5,584,872.90/2,981.41
  6. Step 6: Final answer
    x = 1,873.23

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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.