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Finding the Fourth Proportional to 8,921.67, 13,441.86 and 8,077.92

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Solution

The fourth proportional to 8,921.67, 13,441.86 and 8,077.92 is: 12,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.67 : 13,441.86 = 8,077.92 : x
  2. Step 2: Convert to fraction form
    8,921.67/13,441.86 = 8,077.92/x
  3. Step 3: Cross multiply
    8,921.67x = 13,441.86 × 8,077.92
  4. Step 4: Simplify right side
    8,921.67x = 108,582,269.73
  5. Step 5: Solve for x
    x = 108,582,269.73/8,921.67
  6. Step 6: Final answer
    x = 12,170.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.