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Finding the Fourth Proportional to 5,778.53, 7,974.31 and 3,125.88

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Solution

The fourth proportional to 5,778.53, 7,974.31 and 3,125.88 is: 4,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.53 : 7,974.31 = 3,125.88 : x
  2. Step 2: Convert to fraction form
    5,778.53/7,974.31 = 3,125.88/x
  3. Step 3: Cross multiply
    5,778.53x = 7,974.31 × 3,125.88
  4. Step 4: Simplify right side
    5,778.53x = 24,926,736.14
  5. Step 5: Solve for x
    x = 24,926,736.14/5,778.53
  6. Step 6: Final answer
    x = 4,313.68

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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.