Home / 2,009.11-3,013.80-548.14

Finding the Fourth Proportional to 2,009.11, 3,013.80 and 548.14

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Solution

The fourth proportional to 2,009.11, 3,013.80 and 548.14 is: 822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.11 : 3,013.80 = 548.14 : x
  2. Step 2: Convert to fraction form
    2,009.11/3,013.80 = 548.14/x
  3. Step 3: Cross multiply
    2,009.11x = 3,013.80 × 548.14
  4. Step 4: Simplify right side
    2,009.11x = 1,651,984.33
  5. Step 5: Solve for x
    x = 1,651,984.33/2,009.11
  6. Step 6: Final answer
    x = 822.25

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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.