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Finding the Fourth Proportional to 2,651.48, 3,978.60 and 1,335.44

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Solution

The fourth proportional to 2,651.48, 3,978.60 and 1,335.44 is: 2,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.48 : 3,978.60 = 1,335.44 : x
  2. Step 2: Convert to fraction form
    2,651.48/3,978.60 = 1,335.44/x
  3. Step 3: Cross multiply
    2,651.48x = 3,978.60 × 1,335.44
  4. Step 4: Simplify right side
    2,651.48x = 5,313,181.58
  5. Step 5: Solve for x
    x = 5,313,181.58/2,651.48
  6. Step 6: Final answer
    x = 2,003.86

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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.