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Finding the Fourth Proportional to 36,842, 55,265.88 and 12,218

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Solution

The fourth proportional to 36,842, 55,265.88 and 12,218 is: 18,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,842 : 55,265.88 = 12,218 : x
  2. Step 2: Convert to fraction form
    36,842/55,265.88 = 12,218/x
  3. Step 3: Cross multiply
    36,842x = 55,265.88 × 12,218
  4. Step 4: Simplify right side
    36,842x = 675,238,521.84
  5. Step 5: Solve for x
    x = 675,238,521.84/36,842
  6. Step 6: Final answer
    x = 18,327.96

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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.