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Finding the Fourth Proportional to 3,199.62, 4,800.08 and 1,813.57

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Solution

The fourth proportional to 3,199.62, 4,800.08 and 1,813.57 is: 2,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.62 : 4,800.08 = 1,813.57 : x
  2. Step 2: Convert to fraction form
    3,199.62/4,800.08 = 1,813.57/x
  3. Step 3: Cross multiply
    3,199.62x = 4,800.08 × 1,813.57
  4. Step 4: Simplify right side
    3,199.62x = 8,705,272.02
  5. Step 5: Solve for x
    x = 8,705,272.02/3,199.62
  6. Step 6: Final answer
    x = 2,720.72

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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.