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Finding the Fourth Proportional to 3,377.22, 5,065.81 and 912.29

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Solution

The fourth proportional to 3,377.22, 5,065.81 and 912.29 is: 1,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.22 : 5,065.81 = 912.29 : x
  2. Step 2: Convert to fraction form
    3,377.22/5,065.81 = 912.29/x
  3. Step 3: Cross multiply
    3,377.22x = 5,065.81 × 912.29
  4. Step 4: Simplify right side
    3,377.22x = 4,621,487.80
  5. Step 5: Solve for x
    x = 4,621,487.80/3,377.22
  6. Step 6: Final answer
    x = 1,368.43

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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.