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Finding the Fourth Proportional to 2,134.82, 2,939.97 and 1,959.86

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Solution

The fourth proportional to 2,134.82, 2,939.97 and 1,959.86 is: 2,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.82 : 2,939.97 = 1,959.86 : x
  2. Step 2: Convert to fraction form
    2,134.82/2,939.97 = 1,959.86/x
  3. Step 3: Cross multiply
    2,134.82x = 2,939.97 × 1,959.86
  4. Step 4: Simplify right side
    2,134.82x = 5,761,929.60
  5. Step 5: Solve for x
    x = 5,761,929.60/2,134.82
  6. Step 6: Final answer
    x = 2,699.02

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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.