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Finding the Fourth Proportional to 33,186.62, 49,778.31 and 12,408.50

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Solution

The fourth proportional to 33,186.62, 49,778.31 and 12,408.50 is: 18,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,186.62 : 49,778.31 = 12,408.50 : x
  2. Step 2: Convert to fraction form
    33,186.62/49,778.31 = 12,408.50/x
  3. Step 3: Cross multiply
    33,186.62x = 49,778.31 × 12,408.50
  4. Step 4: Simplify right side
    33,186.62x = 617,674,159.64
  5. Step 5: Solve for x
    x = 617,674,159.64/33,186.62
  6. Step 6: Final answer
    x = 18,612.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.