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Finding the Fourth Proportional to 8,269.50, 12,404.70 and 2,426.70

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Solution

The fourth proportional to 8,269.50, 12,404.70 and 2,426.70 is: 3,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.50 : 12,404.70 = 2,426.70 : x
  2. Step 2: Convert to fraction form
    8,269.50/12,404.70 = 2,426.70/x
  3. Step 3: Cross multiply
    8,269.50x = 12,404.70 × 2,426.70
  4. Step 4: Simplify right side
    8,269.50x = 30,102,485.49
  5. Step 5: Solve for x
    x = 30,102,485.49/8,269.50
  6. Step 6: Final answer
    x = 3,640.18

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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.