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Finding the Fourth Proportional to 2,611.10, 3,916.65 and 880.94

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Solution

The fourth proportional to 2,611.10, 3,916.65 and 880.94 is: 1,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.10 : 3,916.65 = 880.94 : x
  2. Step 2: Convert to fraction form
    2,611.10/3,916.65 = 880.94/x
  3. Step 3: Cross multiply
    2,611.10x = 3,916.65 × 880.94
  4. Step 4: Simplify right side
    2,611.10x = 3,450,333.65
  5. Step 5: Solve for x
    x = 3,450,333.65/2,611.10
  6. Step 6: Final answer
    x = 1,321.41

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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.