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Finding the Fourth Proportional to 3,201.59, 4,801.02 and 1,120.98

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Solution

The fourth proportional to 3,201.59, 4,801.02 and 1,120.98 is: 1,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.59 : 4,801.02 = 1,120.98 : x
  2. Step 2: Convert to fraction form
    3,201.59/4,801.02 = 1,120.98/x
  3. Step 3: Cross multiply
    3,201.59x = 4,801.02 × 1,120.98
  4. Step 4: Simplify right side
    3,201.59x = 5,381,847.40
  5. Step 5: Solve for x
    x = 5,381,847.40/3,201.59
  6. Step 6: Final answer
    x = 1,680.99

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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.