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Finding the Fourth Proportional to 13,080, 18,049.82 and 7,414.67

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Solution

The fourth proportional to 13,080, 18,049.82 and 7,414.67 is: 10,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080 : 18,049.82 = 7,414.67 : x
  2. Step 2: Convert to fraction form
    13,080/18,049.82 = 7,414.67/x
  3. Step 3: Cross multiply
    13,080x = 18,049.82 × 7,414.67
  4. Step 4: Simplify right side
    13,080x = 133,833,331.54
  5. Step 5: Solve for x
    x = 133,833,331.54/13,080
  6. Step 6: Final answer
    x = 10,231.91

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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.