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Finding the Fourth Proportional to 5,906.40, 8,149.36 and 3,808

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Solution

The fourth proportional to 5,906.40, 8,149.36 and 3,808 is: 5,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.40 : 8,149.36 = 3,808 : x
  2. Step 2: Convert to fraction form
    5,906.40/8,149.36 = 3,808/x
  3. Step 3: Cross multiply
    5,906.40x = 8,149.36 × 3,808
  4. Step 4: Simplify right side
    5,906.40x = 31,032,762.88
  5. Step 5: Solve for x
    x = 31,032,762.88/5,906.40
  6. Step 6: Final answer
    x = 5,254.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.