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Finding the Fourth Proportional to 3,153.63, 4,729.07 and 961.85

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Solution

The fourth proportional to 3,153.63, 4,729.07 and 961.85 is: 1,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.63 : 4,729.07 = 961.85 : x
  2. Step 2: Convert to fraction form
    3,153.63/4,729.07 = 961.85/x
  3. Step 3: Cross multiply
    3,153.63x = 4,729.07 × 961.85
  4. Step 4: Simplify right side
    3,153.63x = 4,548,655.98
  5. Step 5: Solve for x
    x = 4,548,655.98/3,153.63
  6. Step 6: Final answer
    x = 1,442.36

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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.