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Finding the Fourth Proportional to 2,109, 2,910.39 and 1,225.30

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Solution

The fourth proportional to 2,109, 2,910.39 and 1,225.30 is: 1,690.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109 : 2,910.39 = 1,225.30 : x
  2. Step 2: Convert to fraction form
    2,109/2,910.39 = 1,225.30/x
  3. Step 3: Cross multiply
    2,109x = 2,910.39 × 1,225.30
  4. Step 4: Simplify right side
    2,109x = 3,566,100.87
  5. Step 5: Solve for x
    x = 3,566,100.87/2,109
  6. Step 6: Final answer
    x = 1,690.90

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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.