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Finding the Fourth Proportional to 2,611.76, 3,916.23 and 1,961.13

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Solution

The fourth proportional to 2,611.76, 3,916.23 and 1,961.13 is: 2,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.76 : 3,916.23 = 1,961.13 : x
  2. Step 2: Convert to fraction form
    2,611.76/3,916.23 = 1,961.13/x
  3. Step 3: Cross multiply
    2,611.76x = 3,916.23 × 1,961.13
  4. Step 4: Simplify right side
    2,611.76x = 7,680,236.14
  5. Step 5: Solve for x
    x = 7,680,236.14/2,611.76
  6. Step 6: Final answer
    x = 2,940.64

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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.