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Finding the Fourth Proportional to 12,632.67, 18,949.14 and 3,867.66

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Solution

The fourth proportional to 12,632.67, 18,949.14 and 3,867.66 is: 5,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.67 : 18,949.14 = 3,867.66 : x
  2. Step 2: Convert to fraction form
    12,632.67/18,949.14 = 3,867.66/x
  3. Step 3: Cross multiply
    12,632.67x = 18,949.14 × 3,867.66
  4. Step 4: Simplify right side
    12,632.67x = 73,288,830.81
  5. Step 5: Solve for x
    x = 73,288,830.81/12,632.67
  6. Step 6: Final answer
    x = 5,801.53

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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.