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Finding the Fourth Proportional to 2,122.76, 3,183.77 and 562.78

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Solution

The fourth proportional to 2,122.76, 3,183.77 and 562.78 is: 844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.76 : 3,183.77 = 562.78 : x
  2. Step 2: Convert to fraction form
    2,122.76/3,183.77 = 562.78/x
  3. Step 3: Cross multiply
    2,122.76x = 3,183.77 × 562.78
  4. Step 4: Simplify right side
    2,122.76x = 1,791,762.08
  5. Step 5: Solve for x
    x = 1,791,762.08/2,122.76
  6. Step 6: Final answer
    x = 844.07

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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.