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Finding the Fourth Proportional to 3,403, 5,077.76 and 2,936.44

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Solution

The fourth proportional to 3,403, 5,077.76 and 2,936.44 is: 4,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403 : 5,077.76 = 2,936.44 : x
  2. Step 2: Convert to fraction form
    3,403/5,077.76 = 2,936.44/x
  3. Step 3: Cross multiply
    3,403x = 5,077.76 × 2,936.44
  4. Step 4: Simplify right side
    3,403x = 14,910,537.57
  5. Step 5: Solve for x
    x = 14,910,537.57/3,403
  6. Step 6: Final answer
    x = 4,381.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.