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Finding the Fourth Proportional to 10,186, 15,279 and 3,261.04

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Solution

The fourth proportional to 10,186, 15,279 and 3,261.04 is: 4,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186 : 15,279 = 3,261.04 : x
  2. Step 2: Convert to fraction form
    10,186/15,279 = 3,261.04/x
  3. Step 3: Cross multiply
    10,186x = 15,279 × 3,261.04
  4. Step 4: Simplify right side
    10,186x = 49,825,430.16
  5. Step 5: Solve for x
    x = 49,825,430.16/10,186
  6. Step 6: Final answer
    x = 4,891.56

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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.