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Finding the Fourth Proportional to 8,338.44, 12,511.29 and 6,486.78

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Solution

The fourth proportional to 8,338.44, 12,511.29 and 6,486.78 is: 9,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.44 : 12,511.29 = 6,486.78 : x
  2. Step 2: Convert to fraction form
    8,338.44/12,511.29 = 6,486.78/x
  3. Step 3: Cross multiply
    8,338.44x = 12,511.29 × 6,486.78
  4. Step 4: Simplify right side
    8,338.44x = 81,157,985.75
  5. Step 5: Solve for x
    x = 81,157,985.75/8,338.44
  6. Step 6: Final answer
    x = 9,732.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.