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Finding the Fourth Proportional to 5,186.92, 7,781.22 and 2,066.92

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Solution

The fourth proportional to 5,186.92, 7,781.22 and 2,066.92 is: 3,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.92 : 7,781.22 = 2,066.92 : x
  2. Step 2: Convert to fraction form
    5,186.92/7,781.22 = 2,066.92/x
  3. Step 3: Cross multiply
    5,186.92x = 7,781.22 × 2,066.92
  4. Step 4: Simplify right side
    5,186.92x = 16,083,159.24
  5. Step 5: Solve for x
    x = 16,083,159.24/5,186.92
  6. Step 6: Final answer
    x = 3,100.71

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1.5x scale

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.