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Finding the Fourth Proportional to 30,641.86, 42,286.87 and 17,212.83

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Solution

The fourth proportional to 30,641.86, 42,286.87 and 17,212.83 is: 23,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.86 : 42,286.87 = 17,212.83 : x
  2. Step 2: Convert to fraction form
    30,641.86/42,286.87 = 17,212.83/x
  3. Step 3: Cross multiply
    30,641.86x = 42,286.87 × 17,212.83
  4. Step 4: Simplify right side
    30,641.86x = 727,876,704.54
  5. Step 5: Solve for x
    x = 727,876,704.54/30,641.86
  6. Step 6: Final answer
    x = 23,754.33

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1.5x scale

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.