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Finding the Fourth Proportional to 5,940.25, 8,912.52 and 2,780.46

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Solution

The fourth proportional to 5,940.25, 8,912.52 and 2,780.46 is: 4,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.25 : 8,912.52 = 2,780.46 : x
  2. Step 2: Convert to fraction form
    5,940.25/8,912.52 = 2,780.46/x
  3. Step 3: Cross multiply
    5,940.25x = 8,912.52 × 2,780.46
  4. Step 4: Simplify right side
    5,940.25x = 24,780,905.36
  5. Step 5: Solve for x
    x = 24,780,905.36/5,940.25
  6. Step 6: Final answer
    x = 4,171.70

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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.