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Finding the Fourth Proportional to 2,605.32, 3,906.15 and 961.65

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Solution

The fourth proportional to 2,605.32, 3,906.15 and 961.65 is: 1,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.32 : 3,906.15 = 961.65 : x
  2. Step 2: Convert to fraction form
    2,605.32/3,906.15 = 961.65/x
  3. Step 3: Cross multiply
    2,605.32x = 3,906.15 × 961.65
  4. Step 4: Simplify right side
    2,605.32x = 3,756,349.15
  5. Step 5: Solve for x
    x = 3,756,349.15/2,605.32
  6. Step 6: Final answer
    x = 1,441.80

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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.