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Finding the Fourth Proportional to 3,684.64, 5,518.86 and 2,382.16

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Solution

The fourth proportional to 3,684.64, 5,518.86 and 2,382.16 is: 3,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.64 : 5,518.86 = 2,382.16 : x
  2. Step 2: Convert to fraction form
    3,684.64/5,518.86 = 2,382.16/x
  3. Step 3: Cross multiply
    3,684.64x = 5,518.86 × 2,382.16
  4. Step 4: Simplify right side
    3,684.64x = 13,146,807.54
  5. Step 5: Solve for x
    x = 13,146,807.54/3,684.64
  6. Step 6: Final answer
    x = 3,568.00

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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.