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Finding the Fourth Proportional to 6,462.38, 8,929.80 and 5,049.74

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Solution

The fourth proportional to 6,462.38, 8,929.80 and 5,049.74 is: 6,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.38 : 8,929.80 = 5,049.74 : x
  2. Step 2: Convert to fraction form
    6,462.38/8,929.80 = 5,049.74/x
  3. Step 3: Cross multiply
    6,462.38x = 8,929.80 × 5,049.74
  4. Step 4: Simplify right side
    6,462.38x = 45,093,168.25
  5. Step 5: Solve for x
    x = 45,093,168.25/6,462.38
  6. Step 6: Final answer
    x = 6,977.80

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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.