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Finding the Fourth Proportional to 3,502.58, 5,254.05 and 905.54

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Solution

The fourth proportional to 3,502.58, 5,254.05 and 905.54 is: 1,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.58 : 5,254.05 = 905.54 : x
  2. Step 2: Convert to fraction form
    3,502.58/5,254.05 = 905.54/x
  3. Step 3: Cross multiply
    3,502.58x = 5,254.05 × 905.54
  4. Step 4: Simplify right side
    3,502.58x = 4,757,752.44
  5. Step 5: Solve for x
    x = 4,757,752.44/3,502.58
  6. Step 6: Final answer
    x = 1,358.36

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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.