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Finding the Fourth Proportional to 9,861.92, 14,788.88 and 3,620.48

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Solution

The fourth proportional to 9,861.92, 14,788.88 and 3,620.48 is: 5,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.92 : 14,788.88 = 3,620.48 : x
  2. Step 2: Convert to fraction form
    9,861.92/14,788.88 = 3,620.48/x
  3. Step 3: Cross multiply
    9,861.92x = 14,788.88 × 3,620.48
  4. Step 4: Simplify right side
    9,861.92x = 53,542,844.26
  5. Step 5: Solve for x
    x = 53,542,844.26/9,861.92
  6. Step 6: Final answer
    x = 5,429.25

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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.