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Finding the Fourth Proportional to 2,148.22, 2,965.11 and 1,361.81

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Solution

The fourth proportional to 2,148.22, 2,965.11 and 1,361.81 is: 1,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.22 : 2,965.11 = 1,361.81 : x
  2. Step 2: Convert to fraction form
    2,148.22/2,965.11 = 1,361.81/x
  3. Step 3: Cross multiply
    2,148.22x = 2,965.11 × 1,361.81
  4. Step 4: Simplify right side
    2,148.22x = 4,037,918.76
  5. Step 5: Solve for x
    x = 4,037,918.76/2,148.22
  6. Step 6: Final answer
    x = 1,879.66

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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.