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Finding the Fourth Proportional to 13,530.74, 20,290.74 and 5,627.96

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Solution

The fourth proportional to 13,530.74, 20,290.74 and 5,627.96 is: 8,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.74 : 20,290.74 = 5,627.96 : x
  2. Step 2: Convert to fraction form
    13,530.74/20,290.74 = 5,627.96/x
  3. Step 3: Cross multiply
    13,530.74x = 20,290.74 × 5,627.96
  4. Step 4: Simplify right side
    13,530.74x = 114,195,473.09
  5. Step 5: Solve for x
    x = 114,195,473.09/13,530.74
  6. Step 6: Final answer
    x = 8,439.71

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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.