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Finding the Fourth Proportional to 8,605.10, 12,909.48 and 2,765.81

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Solution

The fourth proportional to 8,605.10, 12,909.48 and 2,765.81 is: 4,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.10 : 12,909.48 = 2,765.81 : x
  2. Step 2: Convert to fraction form
    8,605.10/12,909.48 = 2,765.81/x
  3. Step 3: Cross multiply
    8,605.10x = 12,909.48 × 2,765.81
  4. Step 4: Simplify right side
    8,605.10x = 35,705,190.78
  5. Step 5: Solve for x
    x = 35,705,190.78/8,605.10
  6. Step 6: Final answer
    x = 4,149.30

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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.