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Finding the Fourth Proportional to 2,659.00, 3,989.14 and 1,198.15

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Solution

The fourth proportional to 2,659.00, 3,989.14 and 1,198.15 is: 1,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.00 : 3,989.14 = 1,198.15 : x
  2. Step 2: Convert to fraction form
    2,659.00/3,989.14 = 1,198.15/x
  3. Step 3: Cross multiply
    2,659.00x = 3,989.14 × 1,198.15
  4. Step 4: Simplify right side
    2,659.00x = 4,779,592.66
  5. Step 5: Solve for x
    x = 4,779,592.66/2,659.00
  6. Step 6: Final answer
    x = 1,797.52

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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.