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Finding the Fourth Proportional to 10,067.20, 15,103.20 and 5,137.60

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Solution

The fourth proportional to 10,067.20, 15,103.20 and 5,137.60 is: 7,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.20 : 15,103.20 = 5,137.60 : x
  2. Step 2: Convert to fraction form
    10,067.20/15,103.20 = 5,137.60/x
  3. Step 3: Cross multiply
    10,067.20x = 15,103.20 × 5,137.60
  4. Step 4: Simplify right side
    10,067.20x = 77,594,200.32
  5. Step 5: Solve for x
    x = 77,594,200.32/10,067.20
  6. Step 6: Final answer
    x = 7,707.62

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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.