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Finding the Fourth Proportional to 1,243.86, 1,866.12 and 1,107.84

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Solution

The fourth proportional to 1,243.86, 1,866.12 and 1,107.84 is: 1,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.86 : 1,866.12 = 1,107.84 : x
  2. Step 2: Convert to fraction form
    1,243.86/1,866.12 = 1,107.84/x
  3. Step 3: Cross multiply
    1,243.86x = 1,866.12 × 1,107.84
  4. Step 4: Simplify right side
    1,243.86x = 2,067,362.38
  5. Step 5: Solve for x
    x = 2,067,362.38/1,243.86
  6. Step 6: Final answer
    x = 1,662.05

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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.