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Finding the Fourth Proportional to 5,778.35, 7,974.11 and 3,125.75

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Solution

The fourth proportional to 5,778.35, 7,974.11 and 3,125.75 is: 4,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.35 : 7,974.11 = 3,125.75 : x
  2. Step 2: Convert to fraction form
    5,778.35/7,974.11 = 3,125.75/x
  3. Step 3: Cross multiply
    5,778.35x = 7,974.11 × 3,125.75
  4. Step 4: Simplify right side
    5,778.35x = 24,925,078.64
  5. Step 5: Solve for x
    x = 24,925,078.64/5,778.35
  6. Step 6: Final answer
    x = 4,313.53

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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.