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Finding the Fourth Proportional to 20,251.99, 30,394.24 and 9,159.65

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Solution

The fourth proportional to 20,251.99, 30,394.24 and 9,159.65 is: 13,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.99 : 30,394.24 = 9,159.65 : x
  2. Step 2: Convert to fraction form
    20,251.99/30,394.24 = 9,159.65/x
  3. Step 3: Cross multiply
    20,251.99x = 30,394.24 × 9,159.65
  4. Step 4: Simplify right side
    20,251.99x = 278,400,425.55
  5. Step 5: Solve for x
    x = 278,400,425.55/20,251.99
  6. Step 6: Final answer
    x = 13,746.82

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1.5x scale

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.