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Finding the Fourth Proportional to 3,199.86, 4,800.46 and 1,350.98

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Solution

The fourth proportional to 3,199.86, 4,800.46 and 1,350.98 is: 2,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.86 : 4,800.46 = 1,350.98 : x
  2. Step 2: Convert to fraction form
    3,199.86/4,800.46 = 1,350.98/x
  3. Step 3: Cross multiply
    3,199.86x = 4,800.46 × 1,350.98
  4. Step 4: Simplify right side
    3,199.86x = 6,485,325.45
  5. Step 5: Solve for x
    x = 6,485,325.45/3,199.86
  6. Step 6: Final answer
    x = 2,026.75

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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.