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Finding the Fourth Proportional to 27,671.28, 41,471.28 and 10,120.20

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Solution

The fourth proportional to 27,671.28, 41,471.28 and 10,120.20 is: 15,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.28 : 41,471.28 = 10,120.20 : x
  2. Step 2: Convert to fraction form
    27,671.28/41,471.28 = 10,120.20/x
  3. Step 3: Cross multiply
    27,671.28x = 41,471.28 × 10,120.20
  4. Step 4: Simplify right side
    27,671.28x = 419,697,647.86
  5. Step 5: Solve for x
    x = 419,697,647.86/27,671.28
  6. Step 6: Final answer
    x = 15,167.27

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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.