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Finding the Fourth Proportional to 3,269.92, 4,904.16 and 961.60

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Solution

The fourth proportional to 3,269.92, 4,904.16 and 961.60 is: 1,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.92 : 4,904.16 = 961.60 : x
  2. Step 2: Convert to fraction form
    3,269.92/4,904.16 = 961.60/x
  3. Step 3: Cross multiply
    3,269.92x = 4,904.16 × 961.60
  4. Step 4: Simplify right side
    3,269.92x = 4,715,840.26
  5. Step 5: Solve for x
    x = 4,715,840.26/3,269.92
  6. Step 6: Final answer
    x = 1,442.19

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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.