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Finding the Fourth Proportional to 10,097.78, 15,129.87 and 3,520.34

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Solution

The fourth proportional to 10,097.78, 15,129.87 and 3,520.34 is: 5,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.78 : 15,129.87 = 3,520.34 : x
  2. Step 2: Convert to fraction form
    10,097.78/15,129.87 = 3,520.34/x
  3. Step 3: Cross multiply
    10,097.78x = 15,129.87 × 3,520.34
  4. Step 4: Simplify right side
    10,097.78x = 53,262,286.56
  5. Step 5: Solve for x
    x = 53,262,286.56/10,097.78
  6. Step 6: Final answer
    x = 5,274.65

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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.