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Finding the Fourth Proportional to 3,082, 4,624.08 and 2,297.20

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Solution

The fourth proportional to 3,082, 4,624.08 and 2,297.20 is: 3,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082 : 4,624.08 = 2,297.20 : x
  2. Step 2: Convert to fraction form
    3,082/4,624.08 = 2,297.20/x
  3. Step 3: Cross multiply
    3,082x = 4,624.08 × 2,297.20
  4. Step 4: Simplify right side
    3,082x = 10,622,436.58
  5. Step 5: Solve for x
    x = 10,622,436.58/3,082
  6. Step 6: Final answer
    x = 3,446.60

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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.