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Finding the Fourth Proportional to 2,971.75, 4,101.02 and 1,729.75

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Solution

The fourth proportional to 2,971.75, 4,101.02 and 1,729.75 is: 2,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.75 : 4,101.02 = 1,729.75 : x
  2. Step 2: Convert to fraction form
    2,971.75/4,101.02 = 1,729.75/x
  3. Step 3: Cross multiply
    2,971.75x = 4,101.02 × 1,729.75
  4. Step 4: Simplify right side
    2,971.75x = 7,093,730.70
  5. Step 5: Solve for x
    x = 7,093,730.70/2,971.75
  6. Step 6: Final answer
    x = 2,387.06

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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.