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Finding the Fourth Proportional to 12,160.98, 16,780.92 and 8,976.01

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Solution

The fourth proportional to 12,160.98, 16,780.92 and 8,976.01 is: 12,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.98 : 16,780.92 = 8,976.01 : x
  2. Step 2: Convert to fraction form
    12,160.98/16,780.92 = 8,976.01/x
  3. Step 3: Cross multiply
    12,160.98x = 16,780.92 × 8,976.01
  4. Step 4: Simplify right side
    12,160.98x = 150,625,660.85
  5. Step 5: Solve for x
    x = 150,625,660.85/12,160.98
  6. Step 6: Final answer
    x = 12,385.99

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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.