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Finding the Fourth Proportional to 3,449.46, 5,174.28 and 852.36

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Solution

The fourth proportional to 3,449.46, 5,174.28 and 852.36 is: 1,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.46 : 5,174.28 = 852.36 : x
  2. Step 2: Convert to fraction form
    3,449.46/5,174.28 = 852.36/x
  3. Step 3: Cross multiply
    3,449.46x = 5,174.28 × 852.36
  4. Step 4: Simplify right side
    3,449.46x = 4,410,349.30
  5. Step 5: Solve for x
    x = 4,410,349.30/3,449.46
  6. Step 6: Final answer
    x = 1,278.56

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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.