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Finding the Fourth Proportional to 3,612.24, 4,980.24 and 3,563.28

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Solution

The fourth proportional to 3,612.24, 4,980.24 and 3,563.28 is: 4,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.24 : 4,980.24 = 3,563.28 : x
  2. Step 2: Convert to fraction form
    3,612.24/4,980.24 = 3,563.28/x
  3. Step 3: Cross multiply
    3,612.24x = 4,980.24 × 3,563.28
  4. Step 4: Simplify right side
    3,612.24x = 17,745,989.59
  5. Step 5: Solve for x
    x = 17,745,989.59/3,612.24
  6. Step 6: Final answer
    x = 4,912.74

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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.