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Finding the Fourth Proportional to 2,912.84, 4,019.26 and 1,793.96

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Solution

The fourth proportional to 2,912.84, 4,019.26 and 1,793.96 is: 2,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.84 : 4,019.26 = 1,793.96 : x
  2. Step 2: Convert to fraction form
    2,912.84/4,019.26 = 1,793.96/x
  3. Step 3: Cross multiply
    2,912.84x = 4,019.26 × 1,793.96
  4. Step 4: Simplify right side
    2,912.84x = 7,210,391.67
  5. Step 5: Solve for x
    x = 7,210,391.67/2,912.84
  6. Step 6: Final answer
    x = 2,475.38

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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.