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Finding the Fourth Proportional to 10,001, 15,002.24 and 3,845

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Solution

The fourth proportional to 10,001, 15,002.24 and 3,845 is: 5,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001 : 15,002.24 = 3,845 : x
  2. Step 2: Convert to fraction form
    10,001/15,002.24 = 3,845/x
  3. Step 3: Cross multiply
    10,001x = 15,002.24 × 3,845
  4. Step 4: Simplify right side
    10,001x = 57,683,612.80
  5. Step 5: Solve for x
    x = 57,683,612.80/10,001
  6. Step 6: Final answer
    x = 5,767.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.