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Finding the Fourth Proportional to 2,611.42, 3,917.67 and 880

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Solution

The fourth proportional to 2,611.42, 3,917.67 and 880 is: 1,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.42 : 3,917.67 = 880 : x
  2. Step 2: Convert to fraction form
    2,611.42/3,917.67 = 880/x
  3. Step 3: Cross multiply
    2,611.42x = 3,917.67 × 880
  4. Step 4: Simplify right side
    2,611.42x = 3,447,549.60
  5. Step 5: Solve for x
    x = 3,447,549.60/2,611.42
  6. Step 6: Final answer
    x = 1,320.18

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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.