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Finding the Fourth Proportional to 13,680, 20,528.72 and 4,914.72

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Solution

The fourth proportional to 13,680, 20,528.72 and 4,914.72 is: 7,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680 : 20,528.72 = 4,914.72 : x
  2. Step 2: Convert to fraction form
    13,680/20,528.72 = 4,914.72/x
  3. Step 3: Cross multiply
    13,680x = 20,528.72 × 4,914.72
  4. Step 4: Simplify right side
    13,680x = 100,892,910.76
  5. Step 5: Solve for x
    x = 100,892,910.76/13,680
  6. Step 6: Final answer
    x = 7,375.21

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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.