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Finding the Fourth Proportional to 13,745.12, 20,621.12 and 7,503.46

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Solution

The fourth proportional to 13,745.12, 20,621.12 and 7,503.46 is: 11,257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.12 : 20,621.12 = 7,503.46 : x
  2. Step 2: Convert to fraction form
    13,745.12/20,621.12 = 7,503.46/x
  3. Step 3: Cross multiply
    13,745.12x = 20,621.12 × 7,503.46
  4. Step 4: Simplify right side
    13,745.12x = 154,729,660.01
  5. Step 5: Solve for x
    x = 154,729,660.01/13,745.12
  6. Step 6: Final answer
    x = 11,257.07

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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.