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Finding the Fourth Proportional to 1,965.69, 2,712.81 and 1,301.40

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Solution

The fourth proportional to 1,965.69, 2,712.81 and 1,301.40 is: 1,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.69 : 2,712.81 = 1,301.40 : x
  2. Step 2: Convert to fraction form
    1,965.69/2,712.81 = 1,301.40/x
  3. Step 3: Cross multiply
    1,965.69x = 2,712.81 × 1,301.40
  4. Step 4: Simplify right side
    1,965.69x = 3,530,450.93
  5. Step 5: Solve for x
    x = 3,530,450.93/1,965.69
  6. Step 6: Final answer
    x = 1,796.04

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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.