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Finding the Fourth Proportional to 19,881.70, 29,836.25 and 8,194.92

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Solution

The fourth proportional to 19,881.70, 29,836.25 and 8,194.92 is: 12,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.70 : 29,836.25 = 8,194.92 : x
  2. Step 2: Convert to fraction form
    19,881.70/29,836.25 = 8,194.92/x
  3. Step 3: Cross multiply
    19,881.70x = 29,836.25 × 8,194.92
  4. Step 4: Simplify right side
    19,881.70x = 244,505,727.55
  5. Step 5: Solve for x
    x = 244,505,727.55/19,881.70
  6. Step 6: Final answer
    x = 12,298.03

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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.