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Finding the Fourth Proportional to 3,806.54, 5,253.84 and 2,549.70

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Solution

The fourth proportional to 3,806.54, 5,253.84 and 2,549.70 is: 3,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.54 : 5,253.84 = 2,549.70 : x
  2. Step 2: Convert to fraction form
    3,806.54/5,253.84 = 2,549.70/x
  3. Step 3: Cross multiply
    3,806.54x = 5,253.84 × 2,549.70
  4. Step 4: Simplify right side
    3,806.54x = 13,395,723.45
  5. Step 5: Solve for x
    x = 13,395,723.45/3,806.54
  6. Step 6: Final answer
    x = 3,519.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.