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Finding the Fourth Proportional to 12,471.15, 17,215.80 and 8,224.73

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Solution

The fourth proportional to 12,471.15, 17,215.80 and 8,224.73 is: 11,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.15 : 17,215.80 = 8,224.73 : x
  2. Step 2: Convert to fraction form
    12,471.15/17,215.80 = 8,224.73/x
  3. Step 3: Cross multiply
    12,471.15x = 17,215.80 × 8,224.73
  4. Step 4: Simplify right side
    12,471.15x = 141,595,306.73
  5. Step 5: Solve for x
    x = 141,595,306.73/12,471.15
  6. Step 6: Final answer
    x = 11,353.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.