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Finding the Fourth Proportional to 13,809.75, 20,717.34 and 5,043.52

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Solution

The fourth proportional to 13,809.75, 20,717.34 and 5,043.52 is: 7,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.75 : 20,717.34 = 5,043.52 : x
  2. Step 2: Convert to fraction form
    13,809.75/20,717.34 = 5,043.52/x
  3. Step 3: Cross multiply
    13,809.75x = 20,717.34 × 5,043.52
  4. Step 4: Simplify right side
    13,809.75x = 104,488,318.64
  5. Step 5: Solve for x
    x = 104,488,318.64/13,809.75
  6. Step 6: Final answer
    x = 7,566.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.