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Finding the Fourth Proportional to 7,874.56, 11,811.87 and 5,401.89

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Solution

The fourth proportional to 7,874.56, 11,811.87 and 5,401.89 is: 8,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.56 : 11,811.87 = 5,401.89 : x
  2. Step 2: Convert to fraction form
    7,874.56/11,811.87 = 5,401.89/x
  3. Step 3: Cross multiply
    7,874.56x = 11,811.87 × 5,401.89
  4. Step 4: Simplify right side
    7,874.56x = 63,806,378.14
  5. Step 5: Solve for x
    x = 63,806,378.14/7,874.56
  6. Step 6: Final answer
    x = 8,102.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.