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Finding the Fourth Proportional to 2,912.84, 4,361.42 and 2,363.72

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Solution

The fourth proportional to 2,912.84, 4,361.42 and 2,363.72 is: 3,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.84 : 4,361.42 = 2,363.72 : x
  2. Step 2: Convert to fraction form
    2,912.84/4,361.42 = 2,363.72/x
  3. Step 3: Cross multiply
    2,912.84x = 4,361.42 × 2,363.72
  4. Step 4: Simplify right side
    2,912.84x = 10,309,175.68
  5. Step 5: Solve for x
    x = 10,309,175.68/2,912.84
  6. Step 6: Final answer
    x = 3,539.22

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1.5x scale

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.