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Finding the Fourth Proportional to 12,632.86, 18,950.19 and 3,866.64

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Solution

The fourth proportional to 12,632.86, 18,950.19 and 3,866.64 is: 5,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.86 : 18,950.19 = 3,866.64 : x
  2. Step 2: Convert to fraction form
    12,632.86/18,950.19 = 3,866.64/x
  3. Step 3: Cross multiply
    12,632.86x = 18,950.19 × 3,866.64
  4. Step 4: Simplify right side
    12,632.86x = 73,273,562.66
  5. Step 5: Solve for x
    x = 73,273,562.66/12,632.86
  6. Step 6: Final answer
    x = 5,800.24

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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.