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Finding the Fourth Proportional to 7,731.96, 10,670.12 and 4,195.18

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Solution

The fourth proportional to 7,731.96, 10,670.12 and 4,195.18 is: 5,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.96 : 10,670.12 = 4,195.18 : x
  2. Step 2: Convert to fraction form
    7,731.96/10,670.12 = 4,195.18/x
  3. Step 3: Cross multiply
    7,731.96x = 10,670.12 × 4,195.18
  4. Step 4: Simplify right side
    7,731.96x = 44,763,074.02
  5. Step 5: Solve for x
    x = 44,763,074.02/7,731.96
  6. Step 6: Final answer
    x = 5,789.36

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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.