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Finding the Fourth Proportional to 13,151.66, 19,729.92 and 8,471.48

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Solution

The fourth proportional to 13,151.66, 19,729.92 and 8,471.48 is: 12,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.66 : 19,729.92 = 8,471.48 : x
  2. Step 2: Convert to fraction form
    13,151.66/19,729.92 = 8,471.48/x
  3. Step 3: Cross multiply
    13,151.66x = 19,729.92 × 8,471.48
  4. Step 4: Simplify right side
    13,151.66x = 167,141,622.68
  5. Step 5: Solve for x
    x = 167,141,622.68/13,151.66
  6. Step 6: Final answer
    x = 12,708.79

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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.