Home / 2,122.60-3,184.17-823.90

Finding the Fourth Proportional to 2,122.60, 3,184.17 and 823.90

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Solution

The fourth proportional to 2,122.60, 3,184.17 and 823.90 is: 1,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.60 : 3,184.17 = 823.90 : x
  2. Step 2: Convert to fraction form
    2,122.60/3,184.17 = 823.90/x
  3. Step 3: Cross multiply
    2,122.60x = 3,184.17 × 823.90
  4. Step 4: Simplify right side
    2,122.60x = 2,623,437.66
  5. Step 5: Solve for x
    x = 2,623,437.66/2,122.60
  6. Step 6: Final answer
    x = 1,235.95

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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.