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Finding the Fourth Proportional to 5,779.92, 7,976.34 and 3,391.30

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Solution

The fourth proportional to 5,779.92, 7,976.34 and 3,391.30 is: 4,680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.92 : 7,976.34 = 3,391.30 : x
  2. Step 2: Convert to fraction form
    5,779.92/7,976.34 = 3,391.30/x
  3. Step 3: Cross multiply
    5,779.92x = 7,976.34 × 3,391.30
  4. Step 4: Simplify right side
    5,779.92x = 27,050,161.84
  5. Step 5: Solve for x
    x = 27,050,161.84/5,779.92
  6. Step 6: Final answer
    x = 4,680.02

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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.