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Finding the Fourth Proportional to 9,880.80, 14,819.92 and 3,724

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Solution

The fourth proportional to 9,880.80, 14,819.92 and 3,724 is: 5,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.80 : 14,819.92 = 3,724 : x
  2. Step 2: Convert to fraction form
    9,880.80/14,819.92 = 3,724/x
  3. Step 3: Cross multiply
    9,880.80x = 14,819.92 × 3,724
  4. Step 4: Simplify right side
    9,880.80x = 55,189,382.08
  5. Step 5: Solve for x
    x = 55,189,382.08/9,880.80
  6. Step 6: Final answer
    x = 5,585.52

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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.