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Finding the Fourth Proportional to 3,489.87, 5,235.72 and 1,150.23

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Solution

The fourth proportional to 3,489.87, 5,235.72 and 1,150.23 is: 1,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.87 : 5,235.72 = 1,150.23 : x
  2. Step 2: Convert to fraction form
    3,489.87/5,235.72 = 1,150.23/x
  3. Step 3: Cross multiply
    3,489.87x = 5,235.72 × 1,150.23
  4. Step 4: Simplify right side
    3,489.87x = 6,022,282.22
  5. Step 5: Solve for x
    x = 6,022,282.22/3,489.87
  6. Step 6: Final answer
    x = 1,725.65

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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.