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Finding the Fourth Proportional to 3,709.98, 5,121.62 and 2,868.78

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Solution

The fourth proportional to 3,709.98, 5,121.62 and 2,868.78 is: 3,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.98 : 5,121.62 = 2,868.78 : x
  2. Step 2: Convert to fraction form
    3,709.98/5,121.62 = 2,868.78/x
  3. Step 3: Cross multiply
    3,709.98x = 5,121.62 × 2,868.78
  4. Step 4: Simplify right side
    3,709.98x = 14,692,801.02
  5. Step 5: Solve for x
    x = 14,692,801.02/3,709.98
  6. Step 6: Final answer
    x = 3,960.35

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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.