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Finding the Fourth Proportional to 18,121.96, 25,008.66 and 10,165

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Solution

The fourth proportional to 18,121.96, 25,008.66 and 10,165 is: 14,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,121.96 : 25,008.66 = 10,165 : x
  2. Step 2: Convert to fraction form
    18,121.96/25,008.66 = 10,165/x
  3. Step 3: Cross multiply
    18,121.96x = 25,008.66 × 10,165
  4. Step 4: Simplify right side
    18,121.96x = 254,213,028.90
  5. Step 5: Solve for x
    x = 254,213,028.90/18,121.96
  6. Step 6: Final answer
    x = 14,027.90

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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.