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Finding the Fourth Proportional to 33,195, 49,782.48 and 9,501.09

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Solution

The fourth proportional to 33,195, 49,782.48 and 9,501.09 is: 14,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,195 : 49,782.48 = 9,501.09 : x
  2. Step 2: Convert to fraction form
    33,195/49,782.48 = 9,501.09/x
  3. Step 3: Cross multiply
    33,195x = 49,782.48 × 9,501.09
  4. Step 4: Simplify right side
    33,195x = 472,987,822.90
  5. Step 5: Solve for x
    x = 472,987,822.90/33,195
  6. Step 6: Final answer
    x = 14,248.77

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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.