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Finding the Fourth Proportional to 1,761.82, 2,431.26 and 965.14

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Solution

The fourth proportional to 1,761.82, 2,431.26 and 965.14 is: 1,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.82 : 2,431.26 = 965.14 : x
  2. Step 2: Convert to fraction form
    1,761.82/2,431.26 = 965.14/x
  3. Step 3: Cross multiply
    1,761.82x = 2,431.26 × 965.14
  4. Step 4: Simplify right side
    1,761.82x = 2,346,506.28
  5. Step 5: Solve for x
    x = 2,346,506.28/1,761.82
  6. Step 6: Final answer
    x = 1,331.87

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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.