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Finding the Fourth Proportional to 8,174.52, 12,256.92 and 2,980.80

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Solution

The fourth proportional to 8,174.52, 12,256.92 and 2,980.80 is: 4,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.52 : 12,256.92 = 2,980.80 : x
  2. Step 2: Convert to fraction form
    8,174.52/12,256.92 = 2,980.80/x
  3. Step 3: Cross multiply
    8,174.52x = 12,256.92 × 2,980.80
  4. Step 4: Simplify right side
    8,174.52x = 36,535,427.14
  5. Step 5: Solve for x
    x = 36,535,427.14/8,174.52
  6. Step 6: Final answer
    x = 4,469.43

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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.