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Finding the Fourth Proportional to 8,563.80, 12,847.76 and 2,720.42

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Solution

The fourth proportional to 8,563.80, 12,847.76 and 2,720.42 is: 4,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.80 : 12,847.76 = 2,720.42 : x
  2. Step 2: Convert to fraction form
    8,563.80/12,847.76 = 2,720.42/x
  3. Step 3: Cross multiply
    8,563.80x = 12,847.76 × 2,720.42
  4. Step 4: Simplify right side
    8,563.80x = 34,951,225.42
  5. Step 5: Solve for x
    x = 34,951,225.42/8,563.80
  6. Step 6: Final answer
    x = 4,081.28

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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.