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Finding the Fourth Proportional to 13,784.85, 20,643.96 and 7,843.73

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Solution

The fourth proportional to 13,784.85, 20,643.96 and 7,843.73 is: 11,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.85 : 20,643.96 = 7,843.73 : x
  2. Step 2: Convert to fraction form
    13,784.85/20,643.96 = 7,843.73/x
  3. Step 3: Cross multiply
    13,784.85x = 20,643.96 × 7,843.73
  4. Step 4: Simplify right side
    13,784.85x = 161,925,626.54
  5. Step 5: Solve for x
    x = 161,925,626.54/13,784.85
  6. Step 6: Final answer
    x = 11,746.64

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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.