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Finding the Fourth Proportional to 11,171.78, 16,757.70 and 5,987.78

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Solution

The fourth proportional to 11,171.78, 16,757.70 and 5,987.78 is: 8,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.78 : 16,757.70 = 5,987.78 : x
  2. Step 2: Convert to fraction form
    11,171.78/16,757.70 = 5,987.78/x
  3. Step 3: Cross multiply
    11,171.78x = 16,757.70 × 5,987.78
  4. Step 4: Simplify right side
    11,171.78x = 100,341,420.91
  5. Step 5: Solve for x
    x = 100,341,420.91/11,171.78
  6. Step 6: Final answer
    x = 8,981.69

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1.5x scale

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.