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Finding the Fourth Proportional to 13,583.30, 20,388.92 and 8,321.94

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Solution

The fourth proportional to 13,583.30, 20,388.92 and 8,321.94 is: 12,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.30 : 20,388.92 = 8,321.94 : x
  2. Step 2: Convert to fraction form
    13,583.30/20,388.92 = 8,321.94/x
  3. Step 3: Cross multiply
    13,583.30x = 20,388.92 × 8,321.94
  4. Step 4: Simplify right side
    13,583.30x = 169,675,327.30
  5. Step 5: Solve for x
    x = 169,675,327.30/13,583.30
  6. Step 6: Final answer
    x = 12,491.47

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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.