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Finding the Fourth Proportional to 2,613.15, 3,919.77 and 665.37

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Solution

The fourth proportional to 2,613.15, 3,919.77 and 665.37 is: 998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.15 : 3,919.77 = 665.37 : x
  2. Step 2: Convert to fraction form
    2,613.15/3,919.77 = 665.37/x
  3. Step 3: Cross multiply
    2,613.15x = 3,919.77 × 665.37
  4. Step 4: Simplify right side
    2,613.15x = 2,608,097.36
  5. Step 5: Solve for x
    x = 2,608,097.36/2,613.15
  6. Step 6: Final answer
    x = 998.07

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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.