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Finding the Fourth Proportional to 7,100.14, 10,630.11 and 3,760.80

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Solution

The fourth proportional to 7,100.14, 10,630.11 and 3,760.80 is: 5,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.14 : 10,630.11 = 3,760.80 : x
  2. Step 2: Convert to fraction form
    7,100.14/10,630.11 = 3,760.80/x
  3. Step 3: Cross multiply
    7,100.14x = 10,630.11 × 3,760.80
  4. Step 4: Simplify right side
    7,100.14x = 39,977,717.69
  5. Step 5: Solve for x
    x = 39,977,717.69/7,100.14
  6. Step 6: Final answer
    x = 5,630.55

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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.