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Finding the Fourth Proportional to 20,309, 30,449.62 and 10,822.74

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Solution

The fourth proportional to 20,309, 30,449.62 and 10,822.74 is: 16,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309 : 30,449.62 = 10,822.74 : x
  2. Step 2: Convert to fraction form
    20,309/30,449.62 = 10,822.74/x
  3. Step 3: Cross multiply
    20,309x = 30,449.62 × 10,822.74
  4. Step 4: Simplify right side
    20,309x = 329,548,320.36
  5. Step 5: Solve for x
    x = 329,548,320.36/20,309
  6. Step 6: Final answer
    x = 16,226.71

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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.