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Finding the Fourth Proportional to 3,211.92, 4,804.92 and 2,719.44

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Solution

The fourth proportional to 3,211.92, 4,804.92 and 2,719.44 is: 4,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.92 : 4,804.92 = 2,719.44 : x
  2. Step 2: Convert to fraction form
    3,211.92/4,804.92 = 2,719.44/x
  3. Step 3: Cross multiply
    3,211.92x = 4,804.92 × 2,719.44
  4. Step 4: Simplify right side
    3,211.92x = 13,066,691.64
  5. Step 5: Solve for x
    x = 13,066,691.64/3,211.92
  6. Step 6: Final answer
    x = 4,068.19

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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.