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Finding the Fourth Proportional to 8,409.68, 12,610.87 and 2,861.53

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Solution

The fourth proportional to 8,409.68, 12,610.87 and 2,861.53 is: 4,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.68 : 12,610.87 = 2,861.53 : x
  2. Step 2: Convert to fraction form
    8,409.68/12,610.87 = 2,861.53/x
  3. Step 3: Cross multiply
    8,409.68x = 12,610.87 × 2,861.53
  4. Step 4: Simplify right side
    8,409.68x = 36,086,382.83
  5. Step 5: Solve for x
    x = 36,086,382.83/8,409.68
  6. Step 6: Final answer
    x = 4,291.05

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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.