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Finding the Fourth Proportional to 11,678.20, 16,115.88 and 6,373

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Solution

The fourth proportional to 11,678.20, 16,115.88 and 6,373 is: 8,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.20 : 16,115.88 = 6,373 : x
  2. Step 2: Convert to fraction form
    11,678.20/16,115.88 = 6,373/x
  3. Step 3: Cross multiply
    11,678.20x = 16,115.88 × 6,373
  4. Step 4: Simplify right side
    11,678.20x = 102,706,503.24
  5. Step 5: Solve for x
    x = 102,706,503.24/11,678.20
  6. Step 6: Final answer
    x = 8,794.72

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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.