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Finding the Fourth Proportional to 13,494.31, 20,242.81 and 4,134.22

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Solution

The fourth proportional to 13,494.31, 20,242.81 and 4,134.22 is: 6,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.31 : 20,242.81 = 4,134.22 : x
  2. Step 2: Convert to fraction form
    13,494.31/20,242.81 = 4,134.22/x
  3. Step 3: Cross multiply
    13,494.31x = 20,242.81 × 4,134.22
  4. Step 4: Simplify right side
    13,494.31x = 83,688,169.02
  5. Step 5: Solve for x
    x = 83,688,169.02/13,494.31
  6. Step 6: Final answer
    x = 6,201.74

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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.