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Finding the Fourth Proportional to 8,311.10, 12,471.10 and 5,539.28

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Solution

The fourth proportional to 8,311.10, 12,471.10 and 5,539.28 is: 8,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.10 : 12,471.10 = 5,539.28 : x
  2. Step 2: Convert to fraction form
    8,311.10/12,471.10 = 5,539.28/x
  3. Step 3: Cross multiply
    8,311.10x = 12,471.10 × 5,539.28
  4. Step 4: Simplify right side
    8,311.10x = 69,080,838.60
  5. Step 5: Solve for x
    x = 69,080,838.60/8,311.10
  6. Step 6: Final answer
    x = 8,311.88

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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.