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Finding the Fourth Proportional to 8,375.68, 12,563.12 and 2,828.64

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Solution

The fourth proportional to 8,375.68, 12,563.12 and 2,828.64 is: 4,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.68 : 12,563.12 = 2,828.64 : x
  2. Step 2: Convert to fraction form
    8,375.68/12,563.12 = 2,828.64/x
  3. Step 3: Cross multiply
    8,375.68x = 12,563.12 × 2,828.64
  4. Step 4: Simplify right side
    8,375.68x = 35,536,543.76
  5. Step 5: Solve for x
    x = 35,536,543.76/8,375.68
  6. Step 6: Final answer
    x = 4,242.82

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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.