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Finding the Fourth Proportional to 2,803.89, 3,869.20 and 1,608.62

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Solution

The fourth proportional to 2,803.89, 3,869.20 and 1,608.62 is: 2,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.89 : 3,869.20 = 1,608.62 : x
  2. Step 2: Convert to fraction form
    2,803.89/3,869.20 = 1,608.62/x
  3. Step 3: Cross multiply
    2,803.89x = 3,869.20 × 1,608.62
  4. Step 4: Simplify right side
    2,803.89x = 6,224,072.50
  5. Step 5: Solve for x
    x = 6,224,072.50/2,803.89
  6. Step 6: Final answer
    x = 2,219.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.