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Finding the Fourth Proportional to 15,034.38, 20,734.26 and 9,724.02

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Solution

The fourth proportional to 15,034.38, 20,734.26 and 9,724.02 is: 13,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,034.38 : 20,734.26 = 9,724.02 : x
  2. Step 2: Convert to fraction form
    15,034.38/20,734.26 = 9,724.02/x
  3. Step 3: Cross multiply
    15,034.38x = 20,734.26 × 9,724.02
  4. Step 4: Simplify right side
    15,034.38x = 201,620,358.93
  5. Step 5: Solve for x
    x = 201,620,358.93/15,034.38
  6. Step 6: Final answer
    x = 13,410.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.