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Finding the Fourth Proportional to 2,868.22, 4,305.03 and 1,408.42

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Solution

The fourth proportional to 2,868.22, 4,305.03 and 1,408.42 is: 2,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.22 : 4,305.03 = 1,408.42 : x
  2. Step 2: Convert to fraction form
    2,868.22/4,305.03 = 1,408.42/x
  3. Step 3: Cross multiply
    2,868.22x = 4,305.03 × 1,408.42
  4. Step 4: Simplify right side
    2,868.22x = 6,063,290.35
  5. Step 5: Solve for x
    x = 6,063,290.35/2,868.22
  6. Step 6: Final answer
    x = 2,113.96

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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.