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Finding the Fourth Proportional to 13,478.20, 20,213.70 and 4,712.20

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Solution

The fourth proportional to 13,478.20, 20,213.70 and 4,712.20 is: 7,067.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.20 : 20,213.70 = 4,712.20 : x
  2. Step 2: Convert to fraction form
    13,478.20/20,213.70 = 4,712.20/x
  3. Step 3: Cross multiply
    13,478.20x = 20,213.70 × 4,712.20
  4. Step 4: Simplify right side
    13,478.20x = 95,250,997.14
  5. Step 5: Solve for x
    x = 95,250,997.14/13,478.20
  6. Step 6: Final answer
    x = 7,067.04

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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.