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Finding the Fourth Proportional to 13,149.56, 18,145.86 and 7,181

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Solution

The fourth proportional to 13,149.56, 18,145.86 and 7,181 is: 9,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.56 : 18,145.86 = 7,181 : x
  2. Step 2: Convert to fraction form
    13,149.56/18,145.86 = 7,181/x
  3. Step 3: Cross multiply
    13,149.56x = 18,145.86 × 7,181
  4. Step 4: Simplify right side
    13,149.56x = 130,305,420.66
  5. Step 5: Solve for x
    x = 130,305,420.66/13,149.56
  6. Step 6: Final answer
    x = 9,909.49

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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.