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Finding the Fourth Proportional to 2,493.59, 3,740.39 and 762.22

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Solution

The fourth proportional to 2,493.59, 3,740.39 and 762.22 is: 1,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.59 : 3,740.39 = 762.22 : x
  2. Step 2: Convert to fraction form
    2,493.59/3,740.39 = 762.22/x
  3. Step 3: Cross multiply
    2,493.59x = 3,740.39 × 762.22
  4. Step 4: Simplify right side
    2,493.59x = 2,850,977.55
  5. Step 5: Solve for x
    x = 2,850,977.55/2,493.59
  6. Step 6: Final answer
    x = 1,143.32

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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.