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Finding the Fourth Proportional to 33,186.48, 49,784.40 and 12,408

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Solution

The fourth proportional to 33,186.48, 49,784.40 and 12,408 is: 18,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,186.48 : 49,784.40 = 12,408 : x
  2. Step 2: Convert to fraction form
    33,186.48/49,784.40 = 12,408/x
  3. Step 3: Cross multiply
    33,186.48x = 49,784.40 × 12,408
  4. Step 4: Simplify right side
    33,186.48x = 617,724,835.20
  5. Step 5: Solve for x
    x = 617,724,835.20/33,186.48
  6. Step 6: Final answer
    x = 18,613.75

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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.