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Finding the Fourth Proportional to 3,959.68, 5,489.35 and 3,749

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Solution

The fourth proportional to 3,959.68, 5,489.35 and 3,749 is: 5,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.68 : 5,489.35 = 3,749 : x
  2. Step 2: Convert to fraction form
    3,959.68/5,489.35 = 3,749/x
  3. Step 3: Cross multiply
    3,959.68x = 5,489.35 × 3,749
  4. Step 4: Simplify right side
    3,959.68x = 20,579,573.15
  5. Step 5: Solve for x
    x = 20,579,573.15/3,959.68
  6. Step 6: Final answer
    x = 5,197.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.