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Finding the Fourth Proportional to 3,153.37, 4,729.88 and 961.92

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Solution

The fourth proportional to 3,153.37, 4,729.88 and 961.92 is: 1,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.37 : 4,729.88 = 961.92 : x
  2. Step 2: Convert to fraction form
    3,153.37/4,729.88 = 961.92/x
  3. Step 3: Cross multiply
    3,153.37x = 4,729.88 × 961.92
  4. Step 4: Simplify right side
    3,153.37x = 4,549,779.10
  5. Step 5: Solve for x
    x = 4,549,779.10/3,153.37
  6. Step 6: Final answer
    x = 1,442.83

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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.