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Finding the Fourth Proportional to 2,743.29, 4,113.85 and 893.95

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Solution

The fourth proportional to 2,743.29, 4,113.85 and 893.95 is: 1,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.29 : 4,113.85 = 893.95 : x
  2. Step 2: Convert to fraction form
    2,743.29/4,113.85 = 893.95/x
  3. Step 3: Cross multiply
    2,743.29x = 4,113.85 × 893.95
  4. Step 4: Simplify right side
    2,743.29x = 3,677,576.21
  5. Step 5: Solve for x
    x = 3,677,576.21/2,743.29
  6. Step 6: Final answer
    x = 1,340.57

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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.