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Finding the Fourth Proportional to 3,874.80, 5,803.02 and 2,949.24

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Solution

The fourth proportional to 3,874.80, 5,803.02 and 2,949.24 is: 4,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.80 : 5,803.02 = 2,949.24 : x
  2. Step 2: Convert to fraction form
    3,874.80/5,803.02 = 2,949.24/x
  3. Step 3: Cross multiply
    3,874.80x = 5,803.02 × 2,949.24
  4. Step 4: Simplify right side
    3,874.80x = 17,114,498.70
  5. Step 5: Solve for x
    x = 17,114,498.70/3,874.80
  6. Step 6: Final answer
    x = 4,416.87

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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.