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Finding the Fourth Proportional to 5,779.88, 7,976.39 and 3,422.02

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Solution

The fourth proportional to 5,779.88, 7,976.39 and 3,422.02 is: 4,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.88 : 7,976.39 = 3,422.02 : x
  2. Step 2: Convert to fraction form
    5,779.88/7,976.39 = 3,422.02/x
  3. Step 3: Cross multiply
    5,779.88x = 7,976.39 × 3,422.02
  4. Step 4: Simplify right side
    5,779.88x = 27,295,363.26
  5. Step 5: Solve for x
    x = 27,295,363.26/5,779.88
  6. Step 6: Final answer
    x = 4,722.48

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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.