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Finding the Fourth Proportional to 13,580.54, 20,378.49 and 7,340.54

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Solution

The fourth proportional to 13,580.54, 20,378.49 and 7,340.54 is: 11,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.54 : 20,378.49 = 7,340.54 : x
  2. Step 2: Convert to fraction form
    13,580.54/20,378.49 = 7,340.54/x
  3. Step 3: Cross multiply
    13,580.54x = 20,378.49 × 7,340.54
  4. Step 4: Simplify right side
    13,580.54x = 149,589,120.98
  5. Step 5: Solve for x
    x = 149,589,120.98/13,580.54
  6. Step 6: Final answer
    x = 11,014.96

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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.