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Finding the Fourth Proportional to 12,187.57, 18,281.87 and 3,867.41

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Solution

The fourth proportional to 12,187.57, 18,281.87 and 3,867.41 is: 5,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.57 : 18,281.87 = 3,867.41 : x
  2. Step 2: Convert to fraction form
    12,187.57/18,281.87 = 3,867.41/x
  3. Step 3: Cross multiply
    12,187.57x = 18,281.87 × 3,867.41
  4. Step 4: Simplify right side
    12,187.57x = 70,703,405.12
  5. Step 5: Solve for x
    x = 70,703,405.12/12,187.57
  6. Step 6: Final answer
    x = 5,801.27

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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.