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Finding the Fourth Proportional to 2,241.77, 3,094.10 and 1,297.61

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Solution

The fourth proportional to 2,241.77, 3,094.10 and 1,297.61 is: 1,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.77 : 3,094.10 = 1,297.61 : x
  2. Step 2: Convert to fraction form
    2,241.77/3,094.10 = 1,297.61/x
  3. Step 3: Cross multiply
    2,241.77x = 3,094.10 × 1,297.61
  4. Step 4: Simplify right side
    2,241.77x = 4,014,913.14
  5. Step 5: Solve for x
    x = 4,014,913.14/2,241.77
  6. Step 6: Final answer
    x = 1,790.96

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