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Finding the Fourth Proportional to 3,509.05, 4,863.40 and 3,443.44

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Solution

The fourth proportional to 3,509.05, 4,863.40 and 3,443.44 is: 4,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.05 : 4,863.40 = 3,443.44 : x
  2. Step 2: Convert to fraction form
    3,509.05/4,863.40 = 3,443.44/x
  3. Step 3: Cross multiply
    3,509.05x = 4,863.40 × 3,443.44
  4. Step 4: Simplify right side
    3,509.05x = 16,746,826.10
  5. Step 5: Solve for x
    x = 16,746,826.10/3,509.05
  6. Step 6: Final answer
    x = 4,772.47

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.