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Finding the Fourth Proportional to 2,611.63, 3,918.05 and 762.74

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Solution

The fourth proportional to 2,611.63, 3,918.05 and 762.74 is: 1,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.63 : 3,918.05 = 762.74 : x
  2. Step 2: Convert to fraction form
    2,611.63/3,918.05 = 762.74/x
  3. Step 3: Cross multiply
    2,611.63x = 3,918.05 × 762.74
  4. Step 4: Simplify right side
    2,611.63x = 2,988,453.46
  5. Step 5: Solve for x
    x = 2,988,453.46/2,611.63
  6. Step 6: Final answer
    x = 1,144.29

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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.