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Finding the Fourth Proportional to 2,604.68, 3,907.68 and 961.22

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Solution

The fourth proportional to 2,604.68, 3,907.68 and 961.22 is: 1,442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.68 : 3,907.68 = 961.22 : x
  2. Step 2: Convert to fraction form
    2,604.68/3,907.68 = 961.22/x
  3. Step 3: Cross multiply
    2,604.68x = 3,907.68 × 961.22
  4. Step 4: Simplify right side
    2,604.68x = 3,756,140.17
  5. Step 5: Solve for x
    x = 3,756,140.17/2,604.68
  6. Step 6: Final answer
    x = 1,442.07

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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.