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Finding the Fourth Proportional to 13,720.45, 18,934.31 and 7,432.82

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Solution

The fourth proportional to 13,720.45, 18,934.31 and 7,432.82 is: 10,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.45 : 18,934.31 = 7,432.82 : x
  2. Step 2: Convert to fraction form
    13,720.45/18,934.31 = 7,432.82/x
  3. Step 3: Cross multiply
    13,720.45x = 18,934.31 × 7,432.82
  4. Step 4: Simplify right side
    13,720.45x = 140,735,318.05
  5. Step 5: Solve for x
    x = 140,735,318.05/13,720.45
  6. Step 6: Final answer
    x = 10,257.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.