Home / 7,742.32-11,611-2,546.96

Finding the Fourth Proportional to 7,742.32, 11,611 and 2,546.96

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Solution

The fourth proportional to 7,742.32, 11,611 and 2,546.96 is: 3,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.32 : 11,611 = 2,546.96 : x
  2. Step 2: Convert to fraction form
    7,742.32/11,611 = 2,546.96/x
  3. Step 3: Cross multiply
    7,742.32x = 11,611 × 2,546.96
  4. Step 4: Simplify right side
    7,742.32x = 29,572,752.56
  5. Step 5: Solve for x
    x = 29,572,752.56/7,742.32
  6. Step 6: Final answer
    x = 3,819.62

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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.