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Finding the Fourth Proportional to 6,120.72, 8,438.46 and 4,866

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Solution

The fourth proportional to 6,120.72, 8,438.46 and 4,866 is: 6,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.72 : 8,438.46 = 4,866 : x
  2. Step 2: Convert to fraction form
    6,120.72/8,438.46 = 4,866/x
  3. Step 3: Cross multiply
    6,120.72x = 8,438.46 × 4,866
  4. Step 4: Simplify right side
    6,120.72x = 41,061,546.36
  5. Step 5: Solve for x
    x = 41,061,546.36/6,120.72
  6. Step 6: Final answer
    x = 6,708.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.