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Finding the Fourth Proportional to 3,109.68, 4,291.05 and 1,914.48

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Solution

The fourth proportional to 3,109.68, 4,291.05 and 1,914.48 is: 2,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.68 : 4,291.05 = 1,914.48 : x
  2. Step 2: Convert to fraction form
    3,109.68/4,291.05 = 1,914.48/x
  3. Step 3: Cross multiply
    3,109.68x = 4,291.05 × 1,914.48
  4. Step 4: Simplify right side
    3,109.68x = 8,215,122.12
  5. Step 5: Solve for x
    x = 8,215,122.12/3,109.68
  6. Step 6: Final answer
    x = 2,641.79

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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.