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Finding the Fourth Proportional to 2,107.70, 2,909.19 and 1,223.32

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Solution

The fourth proportional to 2,107.70, 2,909.19 and 1,223.32 is: 1,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.70 : 2,909.19 = 1,223.32 : x
  2. Step 2: Convert to fraction form
    2,107.70/2,909.19 = 1,223.32/x
  3. Step 3: Cross multiply
    2,107.70x = 2,909.19 × 1,223.32
  4. Step 4: Simplify right side
    2,107.70x = 3,558,855.76
  5. Step 5: Solve for x
    x = 3,558,855.76/2,107.70
  6. Step 6: Final answer
    x = 1,688.51

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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.