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Finding the Fourth Proportional to 2,917.49, 4,026.11 and 1,591.11

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Solution

The fourth proportional to 2,917.49, 4,026.11 and 1,591.11 is: 2,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.49 : 4,026.11 = 1,591.11 : x
  2. Step 2: Convert to fraction form
    2,917.49/4,026.11 = 1,591.11/x
  3. Step 3: Cross multiply
    2,917.49x = 4,026.11 × 1,591.11
  4. Step 4: Simplify right side
    2,917.49x = 6,405,975.93
  5. Step 5: Solve for x
    x = 6,405,975.93/2,917.49
  6. Step 6: Final answer
    x = 2,195.72

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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.