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Finding the Fourth Proportional to 6,408.30, 9,612.02 and 3,809

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Solution

The fourth proportional to 6,408.30, 9,612.02 and 3,809 is: 5,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.30 : 9,612.02 = 3,809 : x
  2. Step 2: Convert to fraction form
    6,408.30/9,612.02 = 3,809/x
  3. Step 3: Cross multiply
    6,408.30x = 9,612.02 × 3,809
  4. Step 4: Simplify right side
    6,408.30x = 36,612,184.18
  5. Step 5: Solve for x
    x = 36,612,184.18/6,408.30
  6. Step 6: Final answer
    x = 5,713.24

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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.