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Finding the Fourth Proportional to 14,008.20, 20,969.10 and 8,147.40

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Solution

The fourth proportional to 14,008.20, 20,969.10 and 8,147.40 is: 12,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.20 : 20,969.10 = 8,147.40 : x
  2. Step 2: Convert to fraction form
    14,008.20/20,969.10 = 8,147.40/x
  3. Step 3: Cross multiply
    14,008.20x = 20,969.10 × 8,147.40
  4. Step 4: Simplify right side
    14,008.20x = 170,843,645.34
  5. Step 5: Solve for x
    x = 170,843,645.34/14,008.20
  6. Step 6: Final answer
    x = 12,195.97

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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.