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Finding the Fourth Proportional to 10,125, 15,188.60 and 2,729.43

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Solution

The fourth proportional to 10,125, 15,188.60 and 2,729.43 is: 4,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125 : 15,188.60 = 2,729.43 : x
  2. Step 2: Convert to fraction form
    10,125/15,188.60 = 2,729.43/x
  3. Step 3: Cross multiply
    10,125x = 15,188.60 × 2,729.43
  4. Step 4: Simplify right side
    10,125x = 41,456,206.85
  5. Step 5: Solve for x
    x = 41,456,206.85/10,125
  6. Step 6: Final answer
    x = 4,094.44

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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.