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Finding the Fourth Proportional to 1,965.16, 2,712.18 and 1,650.07

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Solution

The fourth proportional to 1,965.16, 2,712.18 and 1,650.07 is: 2,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.16 : 2,712.18 = 1,650.07 : x
  2. Step 2: Convert to fraction form
    1,965.16/2,712.18 = 1,650.07/x
  3. Step 3: Cross multiply
    1,965.16x = 2,712.18 × 1,650.07
  4. Step 4: Simplify right side
    1,965.16x = 4,475,286.85
  5. Step 5: Solve for x
    x = 4,475,286.85/1,965.16
  6. Step 6: Final answer
    x = 2,277.31

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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.