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Finding the Fourth Proportional to 20,177.70, 30,270.60 and 6,138.60

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Solution

The fourth proportional to 20,177.70, 30,270.60 and 6,138.60 is: 9,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.70 : 30,270.60 = 6,138.60 : x
  2. Step 2: Convert to fraction form
    20,177.70/30,270.60 = 6,138.60/x
  3. Step 3: Cross multiply
    20,177.70x = 30,270.60 × 6,138.60
  4. Step 4: Simplify right side
    20,177.70x = 185,819,105.16
  5. Step 5: Solve for x
    x = 185,819,105.16/20,177.70
  6. Step 6: Final answer
    x = 9,209.13

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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.