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Finding the Fourth Proportional to 10,121, 15,183.74 and 4,282.60

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Solution

The fourth proportional to 10,121, 15,183.74 and 4,282.60 is: 6,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121 : 15,183.74 = 4,282.60 : x
  2. Step 2: Convert to fraction form
    10,121/15,183.74 = 4,282.60/x
  3. Step 3: Cross multiply
    10,121x = 15,183.74 × 4,282.60
  4. Step 4: Simplify right side
    10,121x = 65,025,884.92
  5. Step 5: Solve for x
    x = 65,025,884.92/10,121
  6. Step 6: Final answer
    x = 6,424.85

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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.