Home / 2,003.14-3,004.76-542.30

Finding the Fourth Proportional to 2,003.14, 3,004.76 and 542.30

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Solution

The fourth proportional to 2,003.14, 3,004.76 and 542.30 is: 813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.14 : 3,004.76 = 542.30 : x
  2. Step 2: Convert to fraction form
    2,003.14/3,004.76 = 542.30/x
  3. Step 3: Cross multiply
    2,003.14x = 3,004.76 × 542.30
  4. Step 4: Simplify right side
    2,003.14x = 1,629,481.35
  5. Step 5: Solve for x
    x = 1,629,481.35/2,003.14
  6. Step 6: Final answer
    x = 813.46

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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.