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Finding the Fourth Proportional to 2,971.78, 4,100.88 and 1,645.42

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Solution

The fourth proportional to 2,971.78, 4,100.88 and 1,645.42 is: 2,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.78 : 4,100.88 = 1,645.42 : x
  2. Step 2: Convert to fraction form
    2,971.78/4,100.88 = 1,645.42/x
  3. Step 3: Cross multiply
    2,971.78x = 4,100.88 × 1,645.42
  4. Step 4: Simplify right side
    2,971.78x = 6,747,669.97
  5. Step 5: Solve for x
    x = 6,747,669.97/2,971.78
  6. Step 6: Final answer
    x = 2,270.58

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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.