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Finding the Fourth Proportional to 20,152.50, 30,229.29 and 6,301.50

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Solution

The fourth proportional to 20,152.50, 30,229.29 and 6,301.50 is: 9,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.50 : 30,229.29 = 6,301.50 : x
  2. Step 2: Convert to fraction form
    20,152.50/30,229.29 = 6,301.50/x
  3. Step 3: Cross multiply
    20,152.50x = 30,229.29 × 6,301.50
  4. Step 4: Simplify right side
    20,152.50x = 190,489,870.94
  5. Step 5: Solve for x
    x = 190,489,870.94/20,152.50
  6. Step 6: Final answer
    x = 9,452.42

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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.