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Finding the Fourth Proportional to 3,291.60, 4,938.06 and 1,905.60

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Solution

The fourth proportional to 3,291.60, 4,938.06 and 1,905.60 is: 2,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.60 : 4,938.06 = 1,905.60 : x
  2. Step 2: Convert to fraction form
    3,291.60/4,938.06 = 1,905.60/x
  3. Step 3: Cross multiply
    3,291.60x = 4,938.06 × 1,905.60
  4. Step 4: Simplify right side
    3,291.60x = 9,409,967.14
  5. Step 5: Solve for x
    x = 9,409,967.14/3,291.60
  6. Step 6: Final answer
    x = 2,858.78

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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.