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Finding the Fourth Proportional to 20,129.68, 30,194.49 and 7,646.77

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Solution

The fourth proportional to 20,129.68, 30,194.49 and 7,646.77 is: 11,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.68 : 30,194.49 = 7,646.77 : x
  2. Step 2: Convert to fraction form
    20,129.68/30,194.49 = 7,646.77/x
  3. Step 3: Cross multiply
    20,129.68x = 30,194.49 × 7,646.77
  4. Step 4: Simplify right side
    20,129.68x = 230,890,320.30
  5. Step 5: Solve for x
    x = 230,890,320.30/20,129.68
  6. Step 6: Final answer
    x = 11,470.14

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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.