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Finding the Fourth Proportional to 2,611.51, 3,914.53 and 1,917.14

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Solution

The fourth proportional to 2,611.51, 3,914.53 and 1,917.14 is: 2,873.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.51 : 3,914.53 = 1,917.14 : x
  2. Step 2: Convert to fraction form
    2,611.51/3,914.53 = 1,917.14/x
  3. Step 3: Cross multiply
    2,611.51x = 3,914.53 × 1,917.14
  4. Step 4: Simplify right side
    2,611.51x = 7,504,702.04
  5. Step 5: Solve for x
    x = 7,504,702.04/2,611.51
  6. Step 6: Final answer
    x = 2,873.70

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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.