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Finding the Fourth Proportional to 2,604.07, 3,907.67 and 961.77

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Solution

The fourth proportional to 2,604.07, 3,907.67 and 961.77 is: 1,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.07 : 3,907.67 = 961.77 : x
  2. Step 2: Convert to fraction form
    2,604.07/3,907.67 = 961.77/x
  3. Step 3: Cross multiply
    2,604.07x = 3,907.67 × 961.77
  4. Step 4: Simplify right side
    2,604.07x = 3,758,292.33
  5. Step 5: Solve for x
    x = 3,758,292.33/2,604.07
  6. Step 6: Final answer
    x = 1,443.24

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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.