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Finding the Fourth Proportional to 3,978.71, 5,489.22 and 2,486.08

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Solution

The fourth proportional to 3,978.71, 5,489.22 and 2,486.08 is: 3,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.71 : 5,489.22 = 2,486.08 : x
  2. Step 2: Convert to fraction form
    3,978.71/5,489.22 = 2,486.08/x
  3. Step 3: Cross multiply
    3,978.71x = 5,489.22 × 2,486.08
  4. Step 4: Simplify right side
    3,978.71x = 13,646,640.06
  5. Step 5: Solve for x
    x = 13,646,640.06/3,978.71
  6. Step 6: Final answer
    x = 3,429.92

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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.