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Finding the Fourth Proportional to 3,519, 5,274.69 and 2,287.29

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Solution

The fourth proportional to 3,519, 5,274.69 and 2,287.29 is: 3,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519 : 5,274.69 = 2,287.29 : x
  2. Step 2: Convert to fraction form
    3,519/5,274.69 = 2,287.29/x
  3. Step 3: Cross multiply
    3,519x = 5,274.69 × 2,287.29
  4. Step 4: Simplify right side
    3,519x = 12,064,745.69
  5. Step 5: Solve for x
    x = 12,064,745.69/3,519
  6. Step 6: Final answer
    x = 3,428.46

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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.