Home / 2,122.21-3,184.22-824.59

Finding the Fourth Proportional to 2,122.21, 3,184.22 and 824.59

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Solution

The fourth proportional to 2,122.21, 3,184.22 and 824.59 is: 1,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.21 : 3,184.22 = 824.59 : x
  2. Step 2: Convert to fraction form
    2,122.21/3,184.22 = 824.59/x
  3. Step 3: Cross multiply
    2,122.21x = 3,184.22 × 824.59
  4. Step 4: Simplify right side
    2,122.21x = 2,625,675.97
  5. Step 5: Solve for x
    x = 2,625,675.97/2,122.21
  6. Step 6: Final answer
    x = 1,237.24

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1.5x scale

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.