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Finding the Fourth Proportional to 3,377.25, 5,065.41 and 912.22

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Solution

The fourth proportional to 3,377.25, 5,065.41 and 912.22 is: 1,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.25 : 5,065.41 = 912.22 : x
  2. Step 2: Convert to fraction form
    3,377.25/5,065.41 = 912.22/x
  3. Step 3: Cross multiply
    3,377.25x = 5,065.41 × 912.22
  4. Step 4: Simplify right side
    3,377.25x = 4,620,768.31
  5. Step 5: Solve for x
    x = 4,620,768.31/3,377.25
  6. Step 6: Final answer
    x = 1,368.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.