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Finding the Fourth Proportional to 3,249.84, 4,876.20 and 1,519.92

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Solution

The fourth proportional to 3,249.84, 4,876.20 and 1,519.92 is: 2,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.84 : 4,876.20 = 1,519.92 : x
  2. Step 2: Convert to fraction form
    3,249.84/4,876.20 = 1,519.92/x
  3. Step 3: Cross multiply
    3,249.84x = 4,876.20 × 1,519.92
  4. Step 4: Simplify right side
    3,249.84x = 7,411,433.90
  5. Step 5: Solve for x
    x = 7,411,433.90/3,249.84
  6. Step 6: Final answer
    x = 2,280.55

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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.