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Finding the Fourth Proportional to 5,216.77, 7,822.80 and 3,109.39

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Solution

The fourth proportional to 5,216.77, 7,822.80 and 3,109.39 is: 4,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.77 : 7,822.80 = 3,109.39 : x
  2. Step 2: Convert to fraction form
    5,216.77/7,822.80 = 3,109.39/x
  3. Step 3: Cross multiply
    5,216.77x = 7,822.80 × 3,109.39
  4. Step 4: Simplify right side
    5,216.77x = 24,324,136.09
  5. Step 5: Solve for x
    x = 24,324,136.09/5,216.77
  6. Step 6: Final answer
    x = 4,662.68

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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.