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Finding the Fourth Proportional to 2,122.85, 3,184.43 and 562.84

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Solution

The fourth proportional to 2,122.85, 3,184.43 and 562.84 is: 844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.85 : 3,184.43 = 562.84 : x
  2. Step 2: Convert to fraction form
    2,122.85/3,184.43 = 562.84/x
  3. Step 3: Cross multiply
    2,122.85x = 3,184.43 × 562.84
  4. Step 4: Simplify right side
    2,122.85x = 1,792,324.58
  5. Step 5: Solve for x
    x = 1,792,324.58/2,122.85
  6. Step 6: Final answer
    x = 844.30

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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.