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Finding the Fourth Proportional to 33,315, 49,972.98 and 8,691

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Solution

The fourth proportional to 33,315, 49,972.98 and 8,691 is: 13,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,315 : 49,972.98 = 8,691 : x
  2. Step 2: Convert to fraction form
    33,315/49,972.98 = 8,691/x
  3. Step 3: Cross multiply
    33,315x = 49,972.98 × 8,691
  4. Step 4: Simplify right side
    33,315x = 434,315,169.18
  5. Step 5: Solve for x
    x = 434,315,169.18/33,315
  6. Step 6: Final answer
    x = 13,036.63

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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.