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Finding the Fourth Proportional to 5,779.92, 7,978.36 and 3,422.08

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Solution

The fourth proportional to 5,779.92, 7,978.36 and 3,422.08 is: 4,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.92 : 7,978.36 = 3,422.08 : x
  2. Step 2: Convert to fraction form
    5,779.92/7,978.36 = 3,422.08/x
  3. Step 3: Cross multiply
    5,779.92x = 7,978.36 × 3,422.08
  4. Step 4: Simplify right side
    5,779.92x = 27,302,586.19
  5. Step 5: Solve for x
    x = 27,302,586.19/5,779.92
  6. Step 6: Final answer
    x = 4,723.70

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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.