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Finding the Fourth Proportional to 2,107.78, 2,909.01 and 1,223.86

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Solution

The fourth proportional to 2,107.78, 2,909.01 and 1,223.86 is: 1,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.78 : 2,909.01 = 1,223.86 : x
  2. Step 2: Convert to fraction form
    2,107.78/2,909.01 = 1,223.86/x
  3. Step 3: Cross multiply
    2,107.78x = 2,909.01 × 1,223.86
  4. Step 4: Simplify right side
    2,107.78x = 3,560,220.98
  5. Step 5: Solve for x
    x = 3,560,220.98/2,107.78
  6. Step 6: Final answer
    x = 1,689.09

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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.