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Finding the Fourth Proportional to 7,431.66, 11,142.15 and 3,731.22

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Solution

The fourth proportional to 7,431.66, 11,142.15 and 3,731.22 is: 5,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.66 : 11,142.15 = 3,731.22 : x
  2. Step 2: Convert to fraction form
    7,431.66/11,142.15 = 3,731.22/x
  3. Step 3: Cross multiply
    7,431.66x = 11,142.15 × 3,731.22
  4. Step 4: Simplify right side
    7,431.66x = 41,573,812.92
  5. Step 5: Solve for x
    x = 41,573,812.92/7,431.66
  6. Step 6: Final answer
    x = 5,594.15

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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.