Home / 2,812.83-4,219.96-964.05

Finding the Fourth Proportional to 2,812.83, 4,219.96 and 964.05

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Solution

The fourth proportional to 2,812.83, 4,219.96 and 964.05 is: 1,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.83 : 4,219.96 = 964.05 : x
  2. Step 2: Convert to fraction form
    2,812.83/4,219.96 = 964.05/x
  3. Step 3: Cross multiply
    2,812.83x = 4,219.96 × 964.05
  4. Step 4: Simplify right side
    2,812.83x = 4,068,252.44
  5. Step 5: Solve for x
    x = 4,068,252.44/2,812.83
  6. Step 6: Final answer
    x = 1,446.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.