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Finding the Fourth Proportional to 11,322.87, 16,980.81 and 3,424.68

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Solution

The fourth proportional to 11,322.87, 16,980.81 and 3,424.68 is: 5,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.87 : 16,980.81 = 3,424.68 : x
  2. Step 2: Convert to fraction form
    11,322.87/16,980.81 = 3,424.68/x
  3. Step 3: Cross multiply
    11,322.87x = 16,980.81 × 3,424.68
  4. Step 4: Simplify right side
    11,322.87x = 58,153,840.39
  5. Step 5: Solve for x
    x = 58,153,840.39/11,322.87
  6. Step 6: Final answer
    x = 5,135.96

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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.