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Finding the Fourth Proportional to 13,989.20, 20,961.88 and 7,745.36

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Solution

The fourth proportional to 13,989.20, 20,961.88 and 7,745.36 is: 11,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.20 : 20,961.88 = 7,745.36 : x
  2. Step 2: Convert to fraction form
    13,989.20/20,961.88 = 7,745.36/x
  3. Step 3: Cross multiply
    13,989.20x = 20,961.88 × 7,745.36
  4. Step 4: Simplify right side
    13,989.20x = 162,357,182.70
  5. Step 5: Solve for x
    x = 162,357,182.70/13,989.20
  6. Step 6: Final answer
    x = 11,605.90

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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.