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Finding the Fourth Proportional to 8,224.68, 12,342.29 and 8,157.79

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Solution

The fourth proportional to 8,224.68, 12,342.29 and 8,157.79 is: 12,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.68 : 12,342.29 = 8,157.79 : x
  2. Step 2: Convert to fraction form
    8,224.68/12,342.29 = 8,157.79/x
  3. Step 3: Cross multiply
    8,224.68x = 12,342.29 × 8,157.79
  4. Step 4: Simplify right side
    8,224.68x = 100,685,748.23
  5. Step 5: Solve for x
    x = 100,685,748.23/8,224.68
  6. Step 6: Final answer
    x = 12,241.91

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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.