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Finding the Fourth Proportional to 8,299.80, 12,449.70 and 2,456.40

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Solution

The fourth proportional to 8,299.80, 12,449.70 and 2,456.40 is: 3,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.80 : 12,449.70 = 2,456.40 : x
  2. Step 2: Convert to fraction form
    8,299.80/12,449.70 = 2,456.40/x
  3. Step 3: Cross multiply
    8,299.80x = 12,449.70 × 2,456.40
  4. Step 4: Simplify right side
    8,299.80x = 30,581,443.08
  5. Step 5: Solve for x
    x = 30,581,443.08/8,299.80
  6. Step 6: Final answer
    x = 3,684.60

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1.5x scale

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.