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Finding the Fourth Proportional to 20,478.75, 30,715.68 and 7,149.42

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Solution

The fourth proportional to 20,478.75, 30,715.68 and 7,149.42 is: 10,723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.75 : 30,715.68 = 7,149.42 : x
  2. Step 2: Convert to fraction form
    20,478.75/30,715.68 = 7,149.42/x
  3. Step 3: Cross multiply
    20,478.75x = 30,715.68 × 7,149.42
  4. Step 4: Simplify right side
    20,478.75x = 219,599,296.91
  5. Step 5: Solve for x
    x = 219,599,296.91/20,478.75
  6. Step 6: Final answer
    x = 10,723.28

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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.