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Finding the Fourth Proportional to 1,722.87, 2,567.97 and 1,676.70

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Solution

The fourth proportional to 1,722.87, 2,567.97 and 1,676.70 is: 2,499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.87 : 2,567.97 = 1,676.70 : x
  2. Step 2: Convert to fraction form
    1,722.87/2,567.97 = 1,676.70/x
  3. Step 3: Cross multiply
    1,722.87x = 2,567.97 × 1,676.70
  4. Step 4: Simplify right side
    1,722.87x = 4,305,715.30
  5. Step 5: Solve for x
    x = 4,305,715.30/1,722.87
  6. Step 6: Final answer
    x = 2,499.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.