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Finding the Fourth Proportional to 3,489.63, 5,233.91 and 2,265.72

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Solution

The fourth proportional to 3,489.63, 5,233.91 and 2,265.72 is: 3,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.63 : 5,233.91 = 2,265.72 : x
  2. Step 2: Convert to fraction form
    3,489.63/5,233.91 = 2,265.72/x
  3. Step 3: Cross multiply
    3,489.63x = 5,233.91 × 2,265.72
  4. Step 4: Simplify right side
    3,489.63x = 11,858,563.24
  5. Step 5: Solve for x
    x = 11,858,563.24/3,489.63
  6. Step 6: Final answer
    x = 3,398.23

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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.