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Finding the Fourth Proportional to 20,157.76, 30,239.77 and 10,291.70

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Solution

The fourth proportional to 20,157.76, 30,239.77 and 10,291.70 is: 15,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.76 : 30,239.77 = 10,291.70 : x
  2. Step 2: Convert to fraction form
    20,157.76/30,239.77 = 10,291.70/x
  3. Step 3: Cross multiply
    20,157.76x = 30,239.77 × 10,291.70
  4. Step 4: Simplify right side
    20,157.76x = 311,218,640.91
  5. Step 5: Solve for x
    x = 311,218,640.91/20,157.76
  6. Step 6: Final answer
    x = 15,439.15

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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.