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Finding the Fourth Proportional to 20,651.76, 30,938.76 and 10,270.80

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Solution

The fourth proportional to 20,651.76, 30,938.76 and 10,270.80 is: 15,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.76 : 30,938.76 = 10,270.80 : x
  2. Step 2: Convert to fraction form
    20,651.76/30,938.76 = 10,270.80/x
  3. Step 3: Cross multiply
    20,651.76x = 30,938.76 × 10,270.80
  4. Step 4: Simplify right side
    20,651.76x = 317,765,816.21
  5. Step 5: Solve for x
    x = 317,765,816.21/20,651.76
  6. Step 6: Final answer
    x = 15,386.86

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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.