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Finding the Fourth Proportional to 3,927.68, 5,420.28 and 2,248.89

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Solution

The fourth proportional to 3,927.68, 5,420.28 and 2,248.89 is: 3,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.68 : 5,420.28 = 2,248.89 : x
  2. Step 2: Convert to fraction form
    3,927.68/5,420.28 = 2,248.89/x
  3. Step 3: Cross multiply
    3,927.68x = 5,420.28 × 2,248.89
  4. Step 4: Simplify right side
    3,927.68x = 12,189,613.49
  5. Step 5: Solve for x
    x = 12,189,613.49/3,927.68
  6. Step 6: Final answer
    x = 3,103.52

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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.