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Finding the Fourth Proportional to 5,779, 7,975 and 3,126.41

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Solution

The fourth proportional to 5,779, 7,975 and 3,126.41 is: 4,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779 : 7,975 = 3,126.41 : x
  2. Step 2: Convert to fraction form
    5,779/7,975 = 3,126.41/x
  3. Step 3: Cross multiply
    5,779x = 7,975 × 3,126.41
  4. Step 4: Simplify right side
    5,779x = 24,933,119.75
  5. Step 5: Solve for x
    x = 24,933,119.75/5,779
  6. Step 6: Final answer
    x = 4,314.43

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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.