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Finding the Fourth Proportional to 6,408.97, 8,844.99 and 3,890.50

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Solution

The fourth proportional to 6,408.97, 8,844.99 and 3,890.50 is: 5,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.97 : 8,844.99 = 3,890.50 : x
  2. Step 2: Convert to fraction form
    6,408.97/8,844.99 = 3,890.50/x
  3. Step 3: Cross multiply
    6,408.97x = 8,844.99 × 3,890.50
  4. Step 4: Simplify right side
    6,408.97x = 34,411,433.60
  5. Step 5: Solve for x
    x = 34,411,433.60/6,408.97
  6. Step 6: Final answer
    x = 5,369.26

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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.