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Finding the Fourth Proportional to 7,101.92, 10,651.92 and 3,639.20

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Solution

The fourth proportional to 7,101.92, 10,651.92 and 3,639.20 is: 5,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.92 : 10,651.92 = 3,639.20 : x
  2. Step 2: Convert to fraction form
    7,101.92/10,651.92 = 3,639.20/x
  3. Step 3: Cross multiply
    7,101.92x = 10,651.92 × 3,639.20
  4. Step 4: Simplify right side
    7,101.92x = 38,764,467.26
  5. Step 5: Solve for x
    x = 38,764,467.26/7,101.92
  6. Step 6: Final answer
    x = 5,458.31

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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.