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Finding the Fourth Proportional to 11,194.80, 16,792.20 and 7,914.30

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Solution

The fourth proportional to 11,194.80, 16,792.20 and 7,914.30 is: 11,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.80 : 16,792.20 = 7,914.30 : x
  2. Step 2: Convert to fraction form
    11,194.80/16,792.20 = 7,914.30/x
  3. Step 3: Cross multiply
    11,194.80x = 16,792.20 × 7,914.30
  4. Step 4: Simplify right side
    11,194.80x = 132,898,508.46
  5. Step 5: Solve for x
    x = 132,898,508.46/11,194.80
  6. Step 6: Final answer
    x = 11,871.45

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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.