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Finding the Fourth Proportional to 13,641.67, 20,459.67 and 7,067.17

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Solution

The fourth proportional to 13,641.67, 20,459.67 and 7,067.17 is: 10,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.67 : 20,459.67 = 7,067.17 : x
  2. Step 2: Convert to fraction form
    13,641.67/20,459.67 = 7,067.17/x
  3. Step 3: Cross multiply
    13,641.67x = 20,459.67 × 7,067.17
  4. Step 4: Simplify right side
    13,641.67x = 144,591,966.03
  5. Step 5: Solve for x
    x = 144,591,966.03/13,641.67
  6. Step 6: Final answer
    x = 10,599.29

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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.