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Finding the Fourth Proportional to 10,509.78, 15,761.22 and 3,844.74

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Solution

The fourth proportional to 10,509.78, 15,761.22 and 3,844.74 is: 5,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.78 : 15,761.22 = 3,844.74 : x
  2. Step 2: Convert to fraction form
    10,509.78/15,761.22 = 3,844.74/x
  3. Step 3: Cross multiply
    10,509.78x = 15,761.22 × 3,844.74
  4. Step 4: Simplify right side
    10,509.78x = 60,597,792.98
  5. Step 5: Solve for x
    x = 60,597,792.98/10,509.78
  6. Step 6: Final answer
    x = 5,765.85

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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.