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Finding the Fourth Proportional to 13,509.76, 20,250.06 and 5,724.04

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Solution

The fourth proportional to 13,509.76, 20,250.06 and 5,724.04 is: 8,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.76 : 20,250.06 = 5,724.04 : x
  2. Step 2: Convert to fraction form
    13,509.76/20,250.06 = 5,724.04/x
  3. Step 3: Cross multiply
    13,509.76x = 20,250.06 × 5,724.04
  4. Step 4: Simplify right side
    13,509.76x = 115,912,153.44
  5. Step 5: Solve for x
    x = 115,912,153.44/13,509.76
  6. Step 6: Final answer
    x = 8,579.88

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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.