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Finding the Fourth Proportional to 8,451.42, 12,678.95 and 2,528.78

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Solution

The fourth proportional to 8,451.42, 12,678.95 and 2,528.78 is: 3,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.42 : 12,678.95 = 2,528.78 : x
  2. Step 2: Convert to fraction form
    8,451.42/12,678.95 = 2,528.78/x
  3. Step 3: Cross multiply
    8,451.42x = 12,678.95 × 2,528.78
  4. Step 4: Simplify right side
    8,451.42x = 32,062,218.11
  5. Step 5: Solve for x
    x = 32,062,218.11/8,451.42
  6. Step 6: Final answer
    x = 3,793.71

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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.