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Finding the Fourth Proportional to 3,202.37, 4,803.36 and 1,200.66

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Solution

The fourth proportional to 3,202.37, 4,803.36 and 1,200.66 is: 1,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.37 : 4,803.36 = 1,200.66 : x
  2. Step 2: Convert to fraction form
    3,202.37/4,803.36 = 1,200.66/x
  3. Step 3: Cross multiply
    3,202.37x = 4,803.36 × 1,200.66
  4. Step 4: Simplify right side
    3,202.37x = 5,767,215.73
  5. Step 5: Solve for x
    x = 5,767,215.73/3,202.37
  6. Step 6: Final answer
    x = 1,800.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.