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Finding the Fourth Proportional to 7,447.48, 11,168.22 and 3,231

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Solution

The fourth proportional to 7,447.48, 11,168.22 and 3,231 is: 4,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.48 : 11,168.22 = 3,231 : x
  2. Step 2: Convert to fraction form
    7,447.48/11,168.22 = 3,231/x
  3. Step 3: Cross multiply
    7,447.48x = 11,168.22 × 3,231
  4. Step 4: Simplify right side
    7,447.48x = 36,084,518.82
  5. Step 5: Solve for x
    x = 36,084,518.82/7,447.48
  6. Step 6: Final answer
    x = 4,845.20

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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.