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Finding the Fourth Proportional to 2,611.68, 3,607.29 and 1,902.41

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Solution

The fourth proportional to 2,611.68, 3,607.29 and 1,902.41 is: 2,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.68 : 3,607.29 = 1,902.41 : x
  2. Step 2: Convert to fraction form
    2,611.68/3,607.29 = 1,902.41/x
  3. Step 3: Cross multiply
    2,611.68x = 3,607.29 × 1,902.41
  4. Step 4: Simplify right side
    2,611.68x = 6,862,544.57
  5. Step 5: Solve for x
    x = 6,862,544.57/2,611.68
  6. Step 6: Final answer
    x = 2,627.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.