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Finding the Fourth Proportional to 13,493.76, 20,244 and 4,728.72

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Solution

The fourth proportional to 13,493.76, 20,244 and 4,728.72 is: 7,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.76 : 20,244 = 4,728.72 : x
  2. Step 2: Convert to fraction form
    13,493.76/20,244 = 4,728.72/x
  3. Step 3: Cross multiply
    13,493.76x = 20,244 × 4,728.72
  4. Step 4: Simplify right side
    13,493.76x = 95,728,207.68
  5. Step 5: Solve for x
    x = 95,728,207.68/13,493.76
  6. Step 6: Final answer
    x = 7,094.26

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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.