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Finding the Fourth Proportional to 2,779.21, 3,835.22 and 1,659.89

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Solution

The fourth proportional to 2,779.21, 3,835.22 and 1,659.89 is: 2,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.21 : 3,835.22 = 1,659.89 : x
  2. Step 2: Convert to fraction form
    2,779.21/3,835.22 = 1,659.89/x
  3. Step 3: Cross multiply
    2,779.21x = 3,835.22 × 1,659.89
  4. Step 4: Simplify right side
    2,779.21x = 6,366,058.62
  5. Step 5: Solve for x
    x = 6,366,058.62/2,779.21
  6. Step 6: Final answer
    x = 2,290.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.