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Finding the Fourth Proportional to 2,253.78, 3,381.84 and 1,099.50

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Solution

The fourth proportional to 2,253.78, 3,381.84 and 1,099.50 is: 1,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.78 : 3,381.84 = 1,099.50 : x
  2. Step 2: Convert to fraction form
    2,253.78/3,381.84 = 1,099.50/x
  3. Step 3: Cross multiply
    2,253.78x = 3,381.84 × 1,099.50
  4. Step 4: Simplify right side
    2,253.78x = 3,718,333.08
  5. Step 5: Solve for x
    x = 3,718,333.08/2,253.78
  6. Step 6: Final answer
    x = 1,649.82

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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.