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Finding the Fourth Proportional to 13,451.28, 18,561 and 7,481.76

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Solution

The fourth proportional to 13,451.28, 18,561 and 7,481.76 is: 10,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.28 : 18,561 = 7,481.76 : x
  2. Step 2: Convert to fraction form
    13,451.28/18,561 = 7,481.76/x
  3. Step 3: Cross multiply
    13,451.28x = 18,561 × 7,481.76
  4. Step 4: Simplify right side
    13,451.28x = 138,868,947.36
  5. Step 5: Solve for x
    x = 138,868,947.36/13,451.28
  6. Step 6: Final answer
    x = 10,323.85

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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.