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Finding the Fourth Proportional to 8,161.71, 12,242.70 and 4,273.71

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Solution

The fourth proportional to 8,161.71, 12,242.70 and 4,273.71 is: 6,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.71 : 12,242.70 = 4,273.71 : x
  2. Step 2: Convert to fraction form
    8,161.71/12,242.70 = 4,273.71/x
  3. Step 3: Cross multiply
    8,161.71x = 12,242.70 × 4,273.71
  4. Step 4: Simplify right side
    8,161.71x = 52,321,749.42
  5. Step 5: Solve for x
    x = 52,321,749.42/8,161.71
  6. Step 6: Final answer
    x = 6,410.64

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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.