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Finding the Fourth Proportional to 12,180.44, 16,801.92 and 7,143.44

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Solution

The fourth proportional to 12,180.44, 16,801.92 and 7,143.44 is: 9,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.44 : 16,801.92 = 7,143.44 : x
  2. Step 2: Convert to fraction form
    12,180.44/16,801.92 = 7,143.44/x
  3. Step 3: Cross multiply
    12,180.44x = 16,801.92 × 7,143.44
  4. Step 4: Simplify right side
    12,180.44x = 120,023,507.40
  5. Step 5: Solve for x
    x = 120,023,507.40/12,180.44
  6. Step 6: Final answer
    x = 9,853.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.