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Finding the Fourth Proportional to 12,194.43, 16,828.18 and 7,157.76

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Solution

The fourth proportional to 12,194.43, 16,828.18 and 7,157.76 is: 9,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.43 : 16,828.18 = 7,157.76 : x
  2. Step 2: Convert to fraction form
    12,194.43/16,828.18 = 7,157.76/x
  3. Step 3: Cross multiply
    12,194.43x = 16,828.18 × 7,157.76
  4. Step 4: Simplify right side
    12,194.43x = 120,452,073.68
  5. Step 5: Solve for x
    x = 120,452,073.68/12,194.43
  6. Step 6: Final answer
    x = 9,877.63

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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.