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Finding the Fourth Proportional to 33,876.80, 50,815.12 and 9,252.80

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Solution

The fourth proportional to 33,876.80, 50,815.12 and 9,252.80 is: 13,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876.80 : 50,815.12 = 9,252.80 : x
  2. Step 2: Convert to fraction form
    33,876.80/50,815.12 = 9,252.80/x
  3. Step 3: Cross multiply
    33,876.80x = 50,815.12 × 9,252.80
  4. Step 4: Simplify right side
    33,876.80x = 470,182,142.34
  5. Step 5: Solve for x
    x = 470,182,142.34/33,876.80
  6. Step 6: Final answer
    x = 13,879.18

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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.