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Finding the Fourth Proportional to 6,120.72, 8,446.68 and 3,762

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Solution

The fourth proportional to 6,120.72, 8,446.68 and 3,762 is: 5,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.72 : 8,446.68 = 3,762 : x
  2. Step 2: Convert to fraction form
    6,120.72/8,446.68 = 3,762/x
  3. Step 3: Cross multiply
    6,120.72x = 8,446.68 × 3,762
  4. Step 4: Simplify right side
    6,120.72x = 31,776,410.16
  5. Step 5: Solve for x
    x = 31,776,410.16/6,120.72
  6. Step 6: Final answer
    x = 5,191.61

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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.