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Finding the Fourth Proportional to 3,138.42, 4,332.51 and 1,961.22

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Solution

The fourth proportional to 3,138.42, 4,332.51 and 1,961.22 is: 2,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.42 : 4,332.51 = 1,961.22 : x
  2. Step 2: Convert to fraction form
    3,138.42/4,332.51 = 1,961.22/x
  3. Step 3: Cross multiply
    3,138.42x = 4,332.51 × 1,961.22
  4. Step 4: Simplify right side
    3,138.42x = 8,497,005.26
  5. Step 5: Solve for x
    x = 8,497,005.26/3,138.42
  6. Step 6: Final answer
    x = 2,707.41

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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.