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Finding the Fourth Proportional to 33,872.78, 50,809.14 and 9,248.78

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Solution

The fourth proportional to 33,872.78, 50,809.14 and 9,248.78 is: 13,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,872.78 : 50,809.14 = 9,248.78 : x
  2. Step 2: Convert to fraction form
    33,872.78/50,809.14 = 9,248.78/x
  3. Step 3: Cross multiply
    33,872.78x = 50,809.14 × 9,248.78
  4. Step 4: Simplify right side
    33,872.78x = 469,922,557.85
  5. Step 5: Solve for x
    x = 469,922,557.85/33,872.78
  6. Step 6: Final answer
    x = 13,873.16

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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.