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Finding the Fourth Proportional to 11,447.68, 17,167.36 and 5,202.40

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Solution

The fourth proportional to 11,447.68, 17,167.36 and 5,202.40 is: 7,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.68 : 17,167.36 = 5,202.40 : x
  2. Step 2: Convert to fraction form
    11,447.68/17,167.36 = 5,202.40/x
  3. Step 3: Cross multiply
    11,447.68x = 17,167.36 × 5,202.40
  4. Step 4: Simplify right side
    11,447.68x = 89,311,473.66
  5. Step 5: Solve for x
    x = 89,311,473.66/11,447.68
  6. Step 6: Final answer
    x = 7,801.71

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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.