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Finding the Fourth Proportional to 8,162.71, 12,244.20 and 4,274.71

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Solution

The fourth proportional to 8,162.71, 12,244.20 and 4,274.71 is: 6,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.71 : 12,244.20 = 4,274.71 : x
  2. Step 2: Convert to fraction form
    8,162.71/12,244.20 = 4,274.71/x
  3. Step 3: Cross multiply
    8,162.71x = 12,244.20 × 4,274.71
  4. Step 4: Simplify right side
    8,162.71x = 52,340,404.18
  5. Step 5: Solve for x
    x = 52,340,404.18/8,162.71
  6. Step 6: Final answer
    x = 6,412.14

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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.