Home / 3,474-5,211.09-1,165.50

Finding the Fourth Proportional to 3,474, 5,211.09 and 1,165.50

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Solution

The fourth proportional to 3,474, 5,211.09 and 1,165.50 is: 1,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474 : 5,211.09 = 1,165.50 : x
  2. Step 2: Convert to fraction form
    3,474/5,211.09 = 1,165.50/x
  3. Step 3: Cross multiply
    3,474x = 5,211.09 × 1,165.50
  4. Step 4: Simplify right side
    3,474x = 6,073,525.40
  5. Step 5: Solve for x
    x = 6,073,525.40/3,474
  6. Step 6: Final answer
    x = 1,748.28

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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.