Home / 2,124.22-3,185.11-824.17

Finding the Fourth Proportional to 2,124.22, 3,185.11 and 824.17

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Solution

The fourth proportional to 2,124.22, 3,185.11 and 824.17 is: 1,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.22 : 3,185.11 = 824.17 : x
  2. Step 2: Convert to fraction form
    2,124.22/3,185.11 = 824.17/x
  3. Step 3: Cross multiply
    2,124.22x = 3,185.11 × 824.17
  4. Step 4: Simplify right side
    2,124.22x = 2,625,072.11
  5. Step 5: Solve for x
    x = 2,625,072.11/2,124.22
  6. Step 6: Final answer
    x = 1,235.78

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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.