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Finding the Fourth Proportional to 2,009.34, 3,013.65 and 548.31

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Solution

The fourth proportional to 2,009.34, 3,013.65 and 548.31 is: 822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.34 : 3,013.65 = 548.31 : x
  2. Step 2: Convert to fraction form
    2,009.34/3,013.65 = 548.31/x
  3. Step 3: Cross multiply
    2,009.34x = 3,013.65 × 548.31
  4. Step 4: Simplify right side
    2,009.34x = 1,652,414.43
  5. Step 5: Solve for x
    x = 1,652,414.43/2,009.34
  6. Step 6: Final answer
    x = 822.37

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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.