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Finding the Fourth Proportional to 20,197.68, 30,296.84 and 10,309.04

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Solution

The fourth proportional to 20,197.68, 30,296.84 and 10,309.04 is: 15,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.68 : 30,296.84 = 10,309.04 : x
  2. Step 2: Convert to fraction form
    20,197.68/30,296.84 = 10,309.04/x
  3. Step 3: Cross multiply
    20,197.68x = 30,296.84 × 10,309.04
  4. Step 4: Simplify right side
    20,197.68x = 312,331,335.43
  5. Step 5: Solve for x
    x = 312,331,335.43/20,197.68
  6. Step 6: Final answer
    x = 15,463.72

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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.