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Finding the Fourth Proportional to 2,611.91, 3,917.93 and 880.53

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Solution

The fourth proportional to 2,611.91, 3,917.93 and 880.53 is: 1,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.91 : 3,917.93 = 880.53 : x
  2. Step 2: Convert to fraction form
    2,611.91/3,917.93 = 880.53/x
  3. Step 3: Cross multiply
    2,611.91x = 3,917.93 × 880.53
  4. Step 4: Simplify right side
    2,611.91x = 3,449,850.50
  5. Step 5: Solve for x
    x = 3,449,850.50/2,611.91
  6. Step 6: Final answer
    x = 1,320.82

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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.