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Finding the Fourth Proportional to 15,138.28, 22,697.22 and 7,736.68

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Solution

The fourth proportional to 15,138.28, 22,697.22 and 7,736.68 is: 11,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.28 : 22,697.22 = 7,736.68 : x
  2. Step 2: Convert to fraction form
    15,138.28/22,697.22 = 7,736.68/x
  3. Step 3: Cross multiply
    15,138.28x = 22,697.22 × 7,736.68
  4. Step 4: Simplify right side
    15,138.28x = 175,601,128.03
  5. Step 5: Solve for x
    x = 175,601,128.03/15,138.28
  6. Step 6: Final answer
    x = 11,599.81

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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.