Home / 11,677.75-16,115.30-7,486

Finding the Fourth Proportional to 11,677.75, 16,115.30 and 7,486

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Solution

The fourth proportional to 11,677.75, 16,115.30 and 7,486 is: 10,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.75 : 16,115.30 = 7,486 : x
  2. Step 2: Convert to fraction form
    11,677.75/16,115.30 = 7,486/x
  3. Step 3: Cross multiply
    11,677.75x = 16,115.30 × 7,486
  4. Step 4: Simplify right side
    11,677.75x = 120,639,135.80
  5. Step 5: Solve for x
    x = 120,639,135.80/11,677.75
  6. Step 6: Final answer
    x = 10,330.68

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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.