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Finding the Fourth Proportional to 8,410.50, 12,614.13 and 2,863.80

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Solution

The fourth proportional to 8,410.50, 12,614.13 and 2,863.80 is: 4,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.50 : 12,614.13 = 2,863.80 : x
  2. Step 2: Convert to fraction form
    8,410.50/12,614.13 = 2,863.80/x
  3. Step 3: Cross multiply
    8,410.50x = 12,614.13 × 2,863.80
  4. Step 4: Simplify right side
    8,410.50x = 36,124,345.49
  5. Step 5: Solve for x
    x = 36,124,345.49/8,410.50
  6. Step 6: Final answer
    x = 4,295.15

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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.