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Finding the Fourth Proportional to 3,872.57, 5,809.05 and 2,949.57

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Solution

The fourth proportional to 3,872.57, 5,809.05 and 2,949.57 is: 4,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.57 : 5,809.05 = 2,949.57 : x
  2. Step 2: Convert to fraction form
    3,872.57/5,809.05 = 2,949.57/x
  3. Step 3: Cross multiply
    3,872.57x = 5,809.05 × 2,949.57
  4. Step 4: Simplify right side
    3,872.57x = 17,134,199.61
  5. Step 5: Solve for x
    x = 17,134,199.61/3,872.57
  6. Step 6: Final answer
    x = 4,424.51

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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.