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Finding the Fourth Proportional to 7,247.56, 10,872.78 and 4,129

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Solution

The fourth proportional to 7,247.56, 10,872.78 and 4,129 is: 6,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.56 : 10,872.78 = 4,129 : x
  2. Step 2: Convert to fraction form
    7,247.56/10,872.78 = 4,129/x
  3. Step 3: Cross multiply
    7,247.56x = 10,872.78 × 4,129
  4. Step 4: Simplify right side
    7,247.56x = 44,893,708.62
  5. Step 5: Solve for x
    x = 44,893,708.62/7,247.56
  6. Step 6: Final answer
    x = 6,194.32

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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.