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Finding the Fourth Proportional to 7,131.98, 10,696.98 and 2,201.78

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Solution

The fourth proportional to 7,131.98, 10,696.98 and 2,201.78 is: 3,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.98 : 10,696.98 = 2,201.78 : x
  2. Step 2: Convert to fraction form
    7,131.98/10,696.98 = 2,201.78/x
  3. Step 3: Cross multiply
    7,131.98x = 10,696.98 × 2,201.78
  4. Step 4: Simplify right side
    7,131.98x = 23,552,396.62
  5. Step 5: Solve for x
    x = 23,552,396.62/7,131.98
  6. Step 6: Final answer
    x = 3,302.36

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1.5x scale

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.