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Finding the Fourth Proportional to 2,107.94, 2,909.06 and 1,163.87

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Solution

The fourth proportional to 2,107.94, 2,909.06 and 1,163.87 is: 1,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.94 : 2,909.06 = 1,163.87 : x
  2. Step 2: Convert to fraction form
    2,107.94/2,909.06 = 1,163.87/x
  3. Step 3: Cross multiply
    2,107.94x = 2,909.06 × 1,163.87
  4. Step 4: Simplify right side
    2,107.94x = 3,385,747.30
  5. Step 5: Solve for x
    x = 3,385,747.30/2,107.94
  6. Step 6: Final answer
    x = 1,606.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.