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Finding the Fourth Proportional to 18,138.92, 25,031.46 and 10,181

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Solution

The fourth proportional to 18,138.92, 25,031.46 and 10,181 is: 14,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.92 : 25,031.46 = 10,181 : x
  2. Step 2: Convert to fraction form
    18,138.92/25,031.46 = 10,181/x
  3. Step 3: Cross multiply
    18,138.92x = 25,031.46 × 10,181
  4. Step 4: Simplify right side
    18,138.92x = 254,845,294.26
  5. Step 5: Solve for x
    x = 254,845,294.26/18,138.92
  6. Step 6: Final answer
    x = 14,049.64

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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.