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Finding the Fourth Proportional to 8,256.38, 11,393.76 and 4,479.62

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Solution

The fourth proportional to 8,256.38, 11,393.76 and 4,479.62 is: 6,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.38 : 11,393.76 = 4,479.62 : x
  2. Step 2: Convert to fraction form
    8,256.38/11,393.76 = 4,479.62/x
  3. Step 3: Cross multiply
    8,256.38x = 11,393.76 × 4,479.62
  4. Step 4: Simplify right side
    8,256.38x = 51,039,715.17
  5. Step 5: Solve for x
    x = 51,039,715.17/8,256.38
  6. Step 6: Final answer
    x = 6,181.85

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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.