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Finding the Fourth Proportional to 2,486.70, 3,729.78 and 755.33

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Solution

The fourth proportional to 2,486.70, 3,729.78 and 755.33 is: 1,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.70 : 3,729.78 = 755.33 : x
  2. Step 2: Convert to fraction form
    2,486.70/3,729.78 = 755.33/x
  3. Step 3: Cross multiply
    2,486.70x = 3,729.78 × 755.33
  4. Step 4: Simplify right side
    2,486.70x = 2,817,196.08
  5. Step 5: Solve for x
    x = 2,817,196.08/2,486.70
  6. Step 6: Final answer
    x = 1,132.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.