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Finding the Fourth Proportional to 36,840, 55,262.88 and 12,216

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Solution

The fourth proportional to 36,840, 55,262.88 and 12,216 is: 18,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,840 : 55,262.88 = 12,216 : x
  2. Step 2: Convert to fraction form
    36,840/55,262.88 = 12,216/x
  3. Step 3: Cross multiply
    36,840x = 55,262.88 × 12,216
  4. Step 4: Simplify right side
    36,840x = 675,091,342.08
  5. Step 5: Solve for x
    x = 675,091,342.08/36,840
  6. Step 6: Final answer
    x = 18,324.95

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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.