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Finding the Fourth Proportional to 3,413, 5,120.74 and 1,682.84

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Solution

The fourth proportional to 3,413, 5,120.74 and 1,682.84 is: 2,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413 : 5,120.74 = 1,682.84 : x
  2. Step 2: Convert to fraction form
    3,413/5,120.74 = 1,682.84/x
  3. Step 3: Cross multiply
    3,413x = 5,120.74 × 1,682.84
  4. Step 4: Simplify right side
    3,413x = 8,617,386.10
  5. Step 5: Solve for x
    x = 8,617,386.10/3,413
  6. Step 6: Final answer
    x = 2,524.87

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Double scale
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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.