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Finding the Fourth Proportional to 13,868, 20,789.64 and 5,100.80

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Solution

The fourth proportional to 13,868, 20,789.64 and 5,100.80 is: 7,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868 : 20,789.64 = 5,100.80 : x
  2. Step 2: Convert to fraction form
    13,868/20,789.64 = 5,100.80/x
  3. Step 3: Cross multiply
    13,868x = 20,789.64 × 5,100.80
  4. Step 4: Simplify right side
    13,868x = 106,043,795.71
  5. Step 5: Solve for x
    x = 106,043,795.71/13,868
  6. Step 6: Final answer
    x = 7,646.65

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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.