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Finding the Fourth Proportional to 3,082, 4,253.16 and 1,684.75

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Solution

The fourth proportional to 3,082, 4,253.16 and 1,684.75 is: 2,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082 : 4,253.16 = 1,684.75 : x
  2. Step 2: Convert to fraction form
    3,082/4,253.16 = 1,684.75/x
  3. Step 3: Cross multiply
    3,082x = 4,253.16 × 1,684.75
  4. Step 4: Simplify right side
    3,082x = 7,165,511.31
  5. Step 5: Solve for x
    x = 7,165,511.31/3,082
  6. Step 6: Final answer
    x = 2,324.96

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.