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Finding the Fourth Proportional to 10,002, 15,003.74 and 3,846

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Solution

The fourth proportional to 10,002, 15,003.74 and 3,846 is: 5,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002 : 15,003.74 = 3,846 : x
  2. Step 2: Convert to fraction form
    10,002/15,003.74 = 3,846/x
  3. Step 3: Cross multiply
    10,002x = 15,003.74 × 3,846
  4. Step 4: Simplify right side
    10,002x = 57,704,384.04
  5. Step 5: Solve for x
    x = 57,704,384.04/10,002
  6. Step 6: Final answer
    x = 5,769.28

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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.