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Finding the Fourth Proportional to 11,201.78, 16,805.22 and 3,411.20

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Solution

The fourth proportional to 11,201.78, 16,805.22 and 3,411.20 is: 5,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.78 : 16,805.22 = 3,411.20 : x
  2. Step 2: Convert to fraction form
    11,201.78/16,805.22 = 3,411.20/x
  3. Step 3: Cross multiply
    11,201.78x = 16,805.22 × 3,411.20
  4. Step 4: Simplify right side
    11,201.78x = 57,325,966.46
  5. Step 5: Solve for x
    x = 57,325,966.46/11,201.78
  6. Step 6: Final answer
    x = 5,117.58

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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.