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Finding the Fourth Proportional to 2,105.68, 3,157.80 and 718.64

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Solution

The fourth proportional to 2,105.68, 3,157.80 and 718.64 is: 1,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.68 : 3,157.80 = 718.64 : x
  2. Step 2: Convert to fraction form
    2,105.68/3,157.80 = 718.64/x
  3. Step 3: Cross multiply
    2,105.68x = 3,157.80 × 718.64
  4. Step 4: Simplify right side
    2,105.68x = 2,269,321.39
  5. Step 5: Solve for x
    x = 2,269,321.39/2,105.68
  6. Step 6: Final answer
    x = 1,077.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.