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Finding the Fourth Proportional to 18,100, 24,971 and 11,382.88

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Solution

The fourth proportional to 18,100, 24,971 and 11,382.88 is: 15,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,100 : 24,971 = 11,382.88 : x
  2. Step 2: Convert to fraction form
    18,100/24,971 = 11,382.88/x
  3. Step 3: Cross multiply
    18,100x = 24,971 × 11,382.88
  4. Step 4: Simplify right side
    18,100x = 284,241,896.48
  5. Step 5: Solve for x
    x = 284,241,896.48/18,100
  6. Step 6: Final answer
    x = 15,703.97

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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.