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Finding the Fourth Proportional to 20,255.80, 30,384 and 7,108.28

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Solution

The fourth proportional to 20,255.80, 30,384 and 7,108.28 is: 10,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255.80 : 30,384 = 7,108.28 : x
  2. Step 2: Convert to fraction form
    20,255.80/30,384 = 7,108.28/x
  3. Step 3: Cross multiply
    20,255.80x = 30,384 × 7,108.28
  4. Step 4: Simplify right side
    20,255.80x = 215,977,979.52
  5. Step 5: Solve for x
    x = 215,977,979.52/20,255.80
  6. Step 6: Final answer
    x = 10,662.53

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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.