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Finding the Fourth Proportional to 7,874.01, 11,812.77 and 2,679.75

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Solution

The fourth proportional to 7,874.01, 11,812.77 and 2,679.75 is: 4,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.01 : 11,812.77 = 2,679.75 : x
  2. Step 2: Convert to fraction form
    7,874.01/11,812.77 = 2,679.75/x
  3. Step 3: Cross multiply
    7,874.01x = 11,812.77 × 2,679.75
  4. Step 4: Simplify right side
    7,874.01x = 31,655,270.41
  5. Step 5: Solve for x
    x = 31,655,270.41/7,874.01
  6. Step 6: Final answer
    x = 4,020.22

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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.