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Finding the Fourth Proportional to 13,462.31, 20,194.28 and 4,228.31

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Solution

The fourth proportional to 13,462.31, 20,194.28 and 4,228.31 is: 6,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.31 : 20,194.28 = 4,228.31 : x
  2. Step 2: Convert to fraction form
    13,462.31/20,194.28 = 4,228.31/x
  3. Step 3: Cross multiply
    13,462.31x = 20,194.28 × 4,228.31
  4. Step 4: Simplify right side
    13,462.31x = 85,387,721.27
  5. Step 5: Solve for x
    x = 85,387,721.27/13,462.31
  6. Step 6: Final answer
    x = 6,342.72

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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.