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Finding the Fourth Proportional to 3,409.29, 5,115.02 and 1,676.70

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Solution

The fourth proportional to 3,409.29, 5,115.02 and 1,676.70 is: 2,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.29 : 5,115.02 = 1,676.70 : x
  2. Step 2: Convert to fraction form
    3,409.29/5,115.02 = 1,676.70/x
  3. Step 3: Cross multiply
    3,409.29x = 5,115.02 × 1,676.70
  4. Step 4: Simplify right side
    3,409.29x = 8,576,345.65
  5. Step 5: Solve for x
    x = 8,576,345.65/3,409.29
  6. Step 6: Final answer
    x = 2,515.58

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1.5x scale

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.