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Finding the Fourth Proportional to 3,166.56, 4,369.91 and 1,839.78

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Solution

The fourth proportional to 3,166.56, 4,369.91 and 1,839.78 is: 2,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.56 : 4,369.91 = 1,839.78 : x
  2. Step 2: Convert to fraction form
    3,166.56/4,369.91 = 1,839.78/x
  3. Step 3: Cross multiply
    3,166.56x = 4,369.91 × 1,839.78
  4. Step 4: Simplify right side
    3,166.56x = 8,039,663.82
  5. Step 5: Solve for x
    x = 8,039,663.82/3,166.56
  6. Step 6: Final answer
    x = 2,538.93

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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.