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Finding the Fourth Proportional to 11,644.38, 16,068.74 and 6,339.20

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Solution

The fourth proportional to 11,644.38, 16,068.74 and 6,339.20 is: 8,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.38 : 16,068.74 = 6,339.20 : x
  2. Step 2: Convert to fraction form
    11,644.38/16,068.74 = 6,339.20/x
  3. Step 3: Cross multiply
    11,644.38x = 16,068.74 × 6,339.20
  4. Step 4: Simplify right side
    11,644.38x = 101,862,844.57
  5. Step 5: Solve for x
    x = 101,862,844.57/11,644.38
  6. Step 6: Final answer
    x = 8,747.81

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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.