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Finding the Fourth Proportional to 13,709.76, 20,564.76 and 3,321.52

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Solution

The fourth proportional to 13,709.76, 20,564.76 and 3,321.52 is: 4,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.76 : 20,564.76 = 3,321.52 : x
  2. Step 2: Convert to fraction form
    13,709.76/20,564.76 = 3,321.52/x
  3. Step 3: Cross multiply
    13,709.76x = 20,564.76 × 3,321.52
  4. Step 4: Simplify right side
    13,709.76x = 68,306,261.64
  5. Step 5: Solve for x
    x = 68,306,261.64/13,709.76
  6. Step 6: Final answer
    x = 4,982.31

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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.