Home / 2,122.57-3,184.23-661.36

Finding the Fourth Proportional to 2,122.57, 3,184.23 and 661.36

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Solution

The fourth proportional to 2,122.57, 3,184.23 and 661.36 is: 992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.57 : 3,184.23 = 661.36 : x
  2. Step 2: Convert to fraction form
    2,122.57/3,184.23 = 661.36/x
  3. Step 3: Cross multiply
    2,122.57x = 3,184.23 × 661.36
  4. Step 4: Simplify right side
    2,122.57x = 2,105,922.35
  5. Step 5: Solve for x
    x = 2,105,922.35/2,122.57
  6. Step 6: Final answer
    x = 992.16

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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.