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Finding the Fourth Proportional to 1,964.92, 2,712.16 and 1,168.81

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Solution

The fourth proportional to 1,964.92, 2,712.16 and 1,168.81 is: 1,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.92 : 2,712.16 = 1,168.81 : x
  2. Step 2: Convert to fraction form
    1,964.92/2,712.16 = 1,168.81/x
  3. Step 3: Cross multiply
    1,964.92x = 2,712.16 × 1,168.81
  4. Step 4: Simplify right side
    1,964.92x = 3,169,986.17
  5. Step 5: Solve for x
    x = 3,169,986.17/1,964.92
  6. Step 6: Final answer
    x = 1,613.29

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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.