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Finding the Fourth Proportional to 2,799, 4,195.47 and 1,335.54

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Solution

The fourth proportional to 2,799, 4,195.47 and 1,335.54 is: 2,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799 : 4,195.47 = 1,335.54 : x
  2. Step 2: Convert to fraction form
    2,799/4,195.47 = 1,335.54/x
  3. Step 3: Cross multiply
    2,799x = 4,195.47 × 1,335.54
  4. Step 4: Simplify right side
    2,799x = 5,603,218.00
  5. Step 5: Solve for x
    x = 5,603,218.00/2,799
  6. Step 6: Final answer
    x = 2,001.86

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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.