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Finding the Fourth Proportional to 2,135.81, 3,203.34 and 575.46

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Solution

The fourth proportional to 2,135.81, 3,203.34 and 575.46 is: 863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.81 : 3,203.34 = 575.46 : x
  2. Step 2: Convert to fraction form
    2,135.81/3,203.34 = 575.46/x
  3. Step 3: Cross multiply
    2,135.81x = 3,203.34 × 575.46
  4. Step 4: Simplify right side
    2,135.81x = 1,843,391.88
  5. Step 5: Solve for x
    x = 1,843,391.88/2,135.81
  6. Step 6: Final answer
    x = 863.09

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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.