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Finding the Fourth Proportional to 2,755.71, 3,801.62 and 1,636.02

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Solution

The fourth proportional to 2,755.71, 3,801.62 and 1,636.02 is: 2,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.71 : 3,801.62 = 1,636.02 : x
  2. Step 2: Convert to fraction form
    2,755.71/3,801.62 = 1,636.02/x
  3. Step 3: Cross multiply
    2,755.71x = 3,801.62 × 1,636.02
  4. Step 4: Simplify right side
    2,755.71x = 6,219,518.17
  5. Step 5: Solve for x
    x = 6,219,518.17/2,755.71
  6. Step 6: Final answer
    x = 2,256.96

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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.