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Finding the Fourth Proportional to 5,407.38, 7,462.40 and 3,049.61

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Solution

The fourth proportional to 5,407.38, 7,462.40 and 3,049.61 is: 4,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.38 : 7,462.40 = 3,049.61 : x
  2. Step 2: Convert to fraction form
    5,407.38/7,462.40 = 3,049.61/x
  3. Step 3: Cross multiply
    5,407.38x = 7,462.40 × 3,049.61
  4. Step 4: Simplify right side
    5,407.38x = 22,757,357.10
  5. Step 5: Solve for x
    x = 22,757,357.10/5,407.38
  6. Step 6: Final answer
    x = 4,208.57

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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.