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Finding the Fourth Proportional to 12,194.92, 16,822.80 and 7,711.12

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Solution

The fourth proportional to 12,194.92, 16,822.80 and 7,711.12 is: 10,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.92 : 16,822.80 = 7,711.12 : x
  2. Step 2: Convert to fraction form
    12,194.92/16,822.80 = 7,711.12/x
  3. Step 3: Cross multiply
    12,194.92x = 16,822.80 × 7,711.12
  4. Step 4: Simplify right side
    12,194.92x = 129,722,587.48
  5. Step 5: Solve for x
    x = 129,722,587.48/12,194.92
  6. Step 6: Final answer
    x = 10,637.43

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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.