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Finding the Fourth Proportional to 3,153.88, 4,729.02 and 961.96

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Solution

The fourth proportional to 3,153.88, 4,729.02 and 961.96 is: 1,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.88 : 4,729.02 = 961.96 : x
  2. Step 2: Convert to fraction form
    3,153.88/4,729.02 = 961.96/x
  3. Step 3: Cross multiply
    3,153.88x = 4,729.02 × 961.96
  4. Step 4: Simplify right side
    3,153.88x = 4,549,128.08
  5. Step 5: Solve for x
    x = 4,549,128.08/3,153.88
  6. Step 6: Final answer
    x = 1,442.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.