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Finding the Fourth Proportional to 10,000, 15,000.74 and 3,844

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Solution

The fourth proportional to 10,000, 15,000.74 and 3,844 is: 5,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000 : 15,000.74 = 3,844 : x
  2. Step 2: Convert to fraction form
    10,000/15,000.74 = 3,844/x
  3. Step 3: Cross multiply
    10,000x = 15,000.74 × 3,844
  4. Step 4: Simplify right side
    10,000x = 57,662,844.56
  5. Step 5: Solve for x
    x = 57,662,844.56/10,000
  6. Step 6: Final answer
    x = 5,766.28

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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.