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Finding the Fourth Proportional to 2,661.74, 3,992.62 and 812.87

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Solution

The fourth proportional to 2,661.74, 3,992.62 and 812.87 is: 1,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.74 : 3,992.62 = 812.87 : x
  2. Step 2: Convert to fraction form
    2,661.74/3,992.62 = 812.87/x
  3. Step 3: Cross multiply
    2,661.74x = 3,992.62 × 812.87
  4. Step 4: Simplify right side
    2,661.74x = 3,245,459.02
  5. Step 5: Solve for x
    x = 3,245,459.02/2,661.74
  6. Step 6: Final answer
    x = 1,219.30

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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.