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Finding the Fourth Proportional to 2,190.54, 3,285.61 and 873.95

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Solution

The fourth proportional to 2,190.54, 3,285.61 and 873.95 is: 1,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.54 : 3,285.61 = 873.95 : x
  2. Step 2: Convert to fraction form
    2,190.54/3,285.61 = 873.95/x
  3. Step 3: Cross multiply
    2,190.54x = 3,285.61 × 873.95
  4. Step 4: Simplify right side
    2,190.54x = 2,871,441.94
  5. Step 5: Solve for x
    x = 2,871,441.94/2,190.54
  6. Step 6: Final answer
    x = 1,310.84

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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.