Home / 2,009.14-3,013.68-548.28

Finding the Fourth Proportional to 2,009.14, 3,013.68 and 548.28

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Solution

The fourth proportional to 2,009.14, 3,013.68 and 548.28 is: 822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.14 : 3,013.68 = 548.28 : x
  2. Step 2: Convert to fraction form
    2,009.14/3,013.68 = 548.28/x
  3. Step 3: Cross multiply
    2,009.14x = 3,013.68 × 548.28
  4. Step 4: Simplify right side
    2,009.14x = 1,652,340.47
  5. Step 5: Solve for x
    x = 1,652,340.47/2,009.14
  6. Step 6: Final answer
    x = 822.41

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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.