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Finding the Fourth Proportional to 2,963.82, 4,090.11 and 1,917.71

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Solution

The fourth proportional to 2,963.82, 4,090.11 and 1,917.71 is: 2,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.82 : 4,090.11 = 1,917.71 : x
  2. Step 2: Convert to fraction form
    2,963.82/4,090.11 = 1,917.71/x
  3. Step 3: Cross multiply
    2,963.82x = 4,090.11 × 1,917.71
  4. Step 4: Simplify right side
    2,963.82x = 7,843,624.40
  5. Step 5: Solve for x
    x = 7,843,624.40/2,963.82
  6. Step 6: Final answer
    x = 2,646.46

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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.