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Finding the Fourth Proportional to 13,201.68, 19,801.23 and 5,409.88

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Solution

The fourth proportional to 13,201.68, 19,801.23 and 5,409.88 is: 8,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.68 : 19,801.23 = 5,409.88 : x
  2. Step 2: Convert to fraction form
    13,201.68/19,801.23 = 5,409.88/x
  3. Step 3: Cross multiply
    13,201.68x = 19,801.23 × 5,409.88
  4. Step 4: Simplify right side
    13,201.68x = 107,122,278.15
  5. Step 5: Solve for x
    x = 107,122,278.15/13,201.68
  6. Step 6: Final answer
    x = 8,114.29

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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.