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Finding the Fourth Proportional to 2,893.56, 4,340.28 and 1,161.78

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Solution

The fourth proportional to 2,893.56, 4,340.28 and 1,161.78 is: 1,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.56 : 4,340.28 = 1,161.78 : x
  2. Step 2: Convert to fraction form
    2,893.56/4,340.28 = 1,161.78/x
  3. Step 3: Cross multiply
    2,893.56x = 4,340.28 × 1,161.78
  4. Step 4: Simplify right side
    2,893.56x = 5,042,450.50
  5. Step 5: Solve for x
    x = 5,042,450.50/2,893.56
  6. Step 6: Final answer
    x = 1,742.65

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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.