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Finding the Fourth Proportional to 3,778.98, 5,214.94 and 2,100.39

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Solution

The fourth proportional to 3,778.98, 5,214.94 and 2,100.39 is: 2,898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.98 : 5,214.94 = 2,100.39 : x
  2. Step 2: Convert to fraction form
    3,778.98/5,214.94 = 2,100.39/x
  3. Step 3: Cross multiply
    3,778.98x = 5,214.94 × 2,100.39
  4. Step 4: Simplify right side
    3,778.98x = 10,953,407.83
  5. Step 5: Solve for x
    x = 10,953,407.83/3,778.98
  6. Step 6: Final answer
    x = 2,898.51

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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.