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Finding the Fourth Proportional to 18,102.11, 24,981.08 and 10,144.78

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Solution

The fourth proportional to 18,102.11, 24,981.08 and 10,144.78 is: 13,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.11 : 24,981.08 = 10,144.78 : x
  2. Step 2: Convert to fraction form
    18,102.11/24,981.08 = 10,144.78/x
  3. Step 3: Cross multiply
    18,102.11x = 24,981.08 × 10,144.78
  4. Step 4: Simplify right side
    18,102.11x = 253,427,447.59
  5. Step 5: Solve for x
    x = 253,427,447.59/18,102.11
  6. Step 6: Final answer
    x = 13,999.89

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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.