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Finding the Fourth Proportional to 6,762, 10,143.46 and 2,081.72

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Solution

The fourth proportional to 6,762, 10,143.46 and 2,081.72 is: 3,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762 : 10,143.46 = 2,081.72 : x
  2. Step 2: Convert to fraction form
    6,762/10,143.46 = 2,081.72/x
  3. Step 3: Cross multiply
    6,762x = 10,143.46 × 2,081.72
  4. Step 4: Simplify right side
    6,762x = 21,115,843.55
  5. Step 5: Solve for x
    x = 21,115,843.55/6,762
  6. Step 6: Final answer
    x = 3,122.72

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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.