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Finding the Fourth Proportional to 3,408.72, 4,704.12 and 2,166

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Solution

The fourth proportional to 3,408.72, 4,704.12 and 2,166 is: 2,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.72 : 4,704.12 = 2,166 : x
  2. Step 2: Convert to fraction form
    3,408.72/4,704.12 = 2,166/x
  3. Step 3: Cross multiply
    3,408.72x = 4,704.12 × 2,166
  4. Step 4: Simplify right side
    3,408.72x = 10,189,123.92
  5. Step 5: Solve for x
    x = 10,189,123.92/3,408.72
  6. Step 6: Final answer
    x = 2,989.13

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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.