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Finding the Fourth Proportional to 3,502.42, 5,253.21 and 905.26

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Solution

The fourth proportional to 3,502.42, 5,253.21 and 905.26 is: 1,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.42 : 5,253.21 = 905.26 : x
  2. Step 2: Convert to fraction form
    3,502.42/5,253.21 = 905.26/x
  3. Step 3: Cross multiply
    3,502.42x = 5,253.21 × 905.26
  4. Step 4: Simplify right side
    3,502.42x = 4,755,520.88
  5. Step 5: Solve for x
    x = 4,755,520.88/3,502.42
  6. Step 6: Final answer
    x = 1,357.78

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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.