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Finding the Fourth Proportional to 3,208.70, 4,817.10 and 1,729.10

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Solution

The fourth proportional to 3,208.70, 4,817.10 and 1,729.10 is: 2,595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.70 : 4,817.10 = 1,729.10 : x
  2. Step 2: Convert to fraction form
    3,208.70/4,817.10 = 1,729.10/x
  3. Step 3: Cross multiply
    3,208.70x = 4,817.10 × 1,729.10
  4. Step 4: Simplify right side
    3,208.70x = 8,329,247.61
  5. Step 5: Solve for x
    x = 8,329,247.61/3,208.70
  6. Step 6: Final answer
    x = 2,595.83

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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.