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Finding the Fourth Proportional to 20,077.86, 30,104.64 and 8,982.48

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Solution

The fourth proportional to 20,077.86, 30,104.64 and 8,982.48 is: 13,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.86 : 30,104.64 = 8,982.48 : x
  2. Step 2: Convert to fraction form
    20,077.86/30,104.64 = 8,982.48/x
  3. Step 3: Cross multiply
    20,077.86x = 30,104.64 × 8,982.48
  4. Step 4: Simplify right side
    20,077.86x = 270,414,326.71
  5. Step 5: Solve for x
    x = 270,414,326.71/20,077.86
  6. Step 6: Final answer
    x = 13,468.28

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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.