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Finding the Fourth Proportional to 20,162.70, 30,244.05 and 7,850.70

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Solution

The fourth proportional to 20,162.70, 30,244.05 and 7,850.70 is: 11,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.70 : 30,244.05 = 7,850.70 : x
  2. Step 2: Convert to fraction form
    20,162.70/30,244.05 = 7,850.70/x
  3. Step 3: Cross multiply
    20,162.70x = 30,244.05 × 7,850.70
  4. Step 4: Simplify right side
    20,162.70x = 237,436,963.34
  5. Step 5: Solve for x
    x = 237,436,963.34/20,162.70
  6. Step 6: Final answer
    x = 11,776.05

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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.