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Finding the Fourth Proportional to 13,478.22, 20,219.22 and 4,711.14

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Solution

The fourth proportional to 13,478.22, 20,219.22 and 4,711.14 is: 7,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.22 : 20,219.22 = 4,711.14 : x
  2. Step 2: Convert to fraction form
    13,478.22/20,219.22 = 4,711.14/x
  3. Step 3: Cross multiply
    13,478.22x = 20,219.22 × 4,711.14
  4. Step 4: Simplify right side
    13,478.22x = 95,255,576.11
  5. Step 5: Solve for x
    x = 95,255,576.11/13,478.22
  6. Step 6: Final answer
    x = 7,067.37

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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.