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Finding the Fourth Proportional to 8,310.54, 12,465.86 and 2,467.20

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Solution

The fourth proportional to 8,310.54, 12,465.86 and 2,467.20 is: 3,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.54 : 12,465.86 = 2,467.20 : x
  2. Step 2: Convert to fraction form
    8,310.54/12,465.86 = 2,467.20/x
  3. Step 3: Cross multiply
    8,310.54x = 12,465.86 × 2,467.20
  4. Step 4: Simplify right side
    8,310.54x = 30,755,769.79
  5. Step 5: Solve for x
    x = 30,755,769.79/8,310.54
  6. Step 6: Final answer
    x = 3,700.81

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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.