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Finding the Fourth Proportional to 13,149, 18,147.31 and 8,682.05

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Solution

The fourth proportional to 13,149, 18,147.31 and 8,682.05 is: 11,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149 : 18,147.31 = 8,682.05 : x
  2. Step 2: Convert to fraction form
    13,149/18,147.31 = 8,682.05/x
  3. Step 3: Cross multiply
    13,149x = 18,147.31 × 8,682.05
  4. Step 4: Simplify right side
    13,149x = 157,555,876.45
  5. Step 5: Solve for x
    x = 157,555,876.45/13,149
  6. Step 6: Final answer
    x = 11,982.35

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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.