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Finding the Fourth Proportional to 5,131.97, 7,082.11 and 2,774.11

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Solution

The fourth proportional to 5,131.97, 7,082.11 and 2,774.11 is: 3,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.97 : 7,082.11 = 2,774.11 : x
  2. Step 2: Convert to fraction form
    5,131.97/7,082.11 = 2,774.11/x
  3. Step 3: Cross multiply
    5,131.97x = 7,082.11 × 2,774.11
  4. Step 4: Simplify right side
    5,131.97x = 19,646,538.30
  5. Step 5: Solve for x
    x = 19,646,538.30/5,131.97
  6. Step 6: Final answer
    x = 3,828.27

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1.5x scale

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.