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Finding the Fourth Proportional to 6,611.16, 9,920 and 2,912.96

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Solution

The fourth proportional to 6,611.16, 9,920 and 2,912.96 is: 4,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.16 : 9,920 = 2,912.96 : x
  2. Step 2: Convert to fraction form
    6,611.16/9,920 = 2,912.96/x
  3. Step 3: Cross multiply
    6,611.16x = 9,920 × 2,912.96
  4. Step 4: Simplify right side
    6,611.16x = 28,896,563.20
  5. Step 5: Solve for x
    x = 28,896,563.20/6,611.16
  6. Step 6: Final answer
    x = 4,370.88

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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.