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Finding the Fourth Proportional to 2,613.73, 3,920.26 and 665.82

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Solution

The fourth proportional to 2,613.73, 3,920.26 and 665.82 is: 998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.73 : 3,920.26 = 665.82 : x
  2. Step 2: Convert to fraction form
    2,613.73/3,920.26 = 665.82/x
  3. Step 3: Cross multiply
    2,613.73x = 3,920.26 × 665.82
  4. Step 4: Simplify right side
    2,613.73x = 2,610,187.51
  5. Step 5: Solve for x
    x = 2,610,187.51/2,613.73
  6. Step 6: Final answer
    x = 998.64

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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.