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Finding the Fourth Proportional to 33,187.80, 49,781.70 and 13,456.20

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Solution

The fourth proportional to 33,187.80, 49,781.70 and 13,456.20 is: 20,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,187.80 : 49,781.70 = 13,456.20 : x
  2. Step 2: Convert to fraction form
    33,187.80/49,781.70 = 13,456.20/x
  3. Step 3: Cross multiply
    33,187.80x = 49,781.70 × 13,456.20
  4. Step 4: Simplify right side
    33,187.80x = 669,872,511.54
  5. Step 5: Solve for x
    x = 669,872,511.54/33,187.80
  6. Step 6: Final answer
    x = 20,184.30

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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.