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Finding the Fourth Proportional to 3,291.54, 4,938.54 and 1,906.26

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Solution

The fourth proportional to 3,291.54, 4,938.54 and 1,906.26 is: 2,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.54 : 4,938.54 = 1,906.26 : x
  2. Step 2: Convert to fraction form
    3,291.54/4,938.54 = 1,906.26/x
  3. Step 3: Cross multiply
    3,291.54x = 4,938.54 × 1,906.26
  4. Step 4: Simplify right side
    3,291.54x = 9,414,141.26
  5. Step 5: Solve for x
    x = 9,414,141.26/3,291.54
  6. Step 6: Final answer
    x = 2,860.10

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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.