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Finding the Fourth Proportional to 13,394.81, 20,090.24 and 3,534.78

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Solution

The fourth proportional to 13,394.81, 20,090.24 and 3,534.78 is: 5,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.81 : 20,090.24 = 3,534.78 : x
  2. Step 2: Convert to fraction form
    13,394.81/20,090.24 = 3,534.78/x
  3. Step 3: Cross multiply
    13,394.81x = 20,090.24 × 3,534.78
  4. Step 4: Simplify right side
    13,394.81x = 71,014,578.55
  5. Step 5: Solve for x
    x = 71,014,578.55/13,394.81
  6. Step 6: Final answer
    x = 5,301.65

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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.