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Finding the Fourth Proportional to 13,149.98, 18,147 and 7,181.78

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Solution

The fourth proportional to 13,149.98, 18,147 and 7,181.78 is: 9,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.98 : 18,147 = 7,181.78 : x
  2. Step 2: Convert to fraction form
    13,149.98/18,147 = 7,181.78/x
  3. Step 3: Cross multiply
    13,149.98x = 18,147 × 7,181.78
  4. Step 4: Simplify right side
    13,149.98x = 130,327,761.66
  5. Step 5: Solve for x
    x = 130,327,761.66/13,149.98
  6. Step 6: Final answer
    x = 9,910.87

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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.