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Finding the Fourth Proportional to 3,437.78, 4,753.44 and 3,382.18

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Solution

The fourth proportional to 3,437.78, 4,753.44 and 3,382.18 is: 4,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.78 : 4,753.44 = 3,382.18 : x
  2. Step 2: Convert to fraction form
    3,437.78/4,753.44 = 3,382.18/x
  3. Step 3: Cross multiply
    3,437.78x = 4,753.44 × 3,382.18
  4. Step 4: Simplify right side
    3,437.78x = 16,076,989.70
  5. Step 5: Solve for x
    x = 16,076,989.70/3,437.78
  6. Step 6: Final answer
    x = 4,676.56

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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.