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Finding the Fourth Proportional to 8,311.52, 11,518.43 and 8,153.82

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Solution

The fourth proportional to 8,311.52, 11,518.43 and 8,153.82 is: 11,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.52 : 11,518.43 = 8,153.82 : x
  2. Step 2: Convert to fraction form
    8,311.52/11,518.43 = 8,153.82/x
  3. Step 3: Cross multiply
    8,311.52x = 11,518.43 × 8,153.82
  4. Step 4: Simplify right side
    8,311.52x = 93,919,164.13
  5. Step 5: Solve for x
    x = 93,919,164.13/8,311.52
  6. Step 6: Final answer
    x = 11,299.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.