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Finding the Fourth Proportional to 3,280.83, 4,921.98 and 1,200.82

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Solution

The fourth proportional to 3,280.83, 4,921.98 and 1,200.82 is: 1,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.83 : 4,921.98 = 1,200.82 : x
  2. Step 2: Convert to fraction form
    3,280.83/4,921.98 = 1,200.82/x
  3. Step 3: Cross multiply
    3,280.83x = 4,921.98 × 1,200.82
  4. Step 4: Simplify right side
    3,280.83x = 5,910,412.02
  5. Step 5: Solve for x
    x = 5,910,412.02/3,280.83
  6. Step 6: Final answer
    x = 1,801.50

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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.