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Finding the Fourth Proportional to 2,605.67, 3,906.66 and 961.98

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Solution

The fourth proportional to 2,605.67, 3,906.66 and 961.98 is: 1,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.67 : 3,906.66 = 961.98 : x
  2. Step 2: Convert to fraction form
    2,605.67/3,906.66 = 961.98/x
  3. Step 3: Cross multiply
    2,605.67x = 3,906.66 × 961.98
  4. Step 4: Simplify right side
    2,605.67x = 3,758,117.74
  5. Step 5: Solve for x
    x = 3,758,117.74/2,605.67
  6. Step 6: Final answer
    x = 1,442.29

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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.