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Finding the Fourth Proportional to 8,451.38, 12,660.78 and 4,742.30

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Solution

The fourth proportional to 8,451.38, 12,660.78 and 4,742.30 is: 7,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.38 : 12,660.78 = 4,742.30 : x
  2. Step 2: Convert to fraction form
    8,451.38/12,660.78 = 4,742.30/x
  3. Step 3: Cross multiply
    8,451.38x = 12,660.78 × 4,742.30
  4. Step 4: Simplify right side
    8,451.38x = 60,041,216.99
  5. Step 5: Solve for x
    x = 60,041,216.99/8,451.38
  6. Step 6: Final answer
    x = 7,104.31

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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.