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Finding the Fourth Proportional to 3,146.82, 4,342.71 and 1,967.25

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Solution

The fourth proportional to 3,146.82, 4,342.71 and 1,967.25 is: 2,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.82 : 4,342.71 = 1,967.25 : x
  2. Step 2: Convert to fraction form
    3,146.82/4,342.71 = 1,967.25/x
  3. Step 3: Cross multiply
    3,146.82x = 4,342.71 × 1,967.25
  4. Step 4: Simplify right side
    3,146.82x = 8,543,196.25
  5. Step 5: Solve for x
    x = 8,543,196.25/3,146.82
  6. Step 6: Final answer
    x = 2,714.87

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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.