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Finding the Fourth Proportional to 2,971.63, 4,100.85 and 1,729.63

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Solution

The fourth proportional to 2,971.63, 4,100.85 and 1,729.63 is: 2,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.63 : 4,100.85 = 1,729.63 : x
  2. Step 2: Convert to fraction form
    2,971.63/4,100.85 = 1,729.63/x
  3. Step 3: Cross multiply
    2,971.63x = 4,100.85 × 1,729.63
  4. Step 4: Simplify right side
    2,971.63x = 7,092,924.03
  5. Step 5: Solve for x
    x = 7,092,924.03/2,971.63
  6. Step 6: Final answer
    x = 2,386.88

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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.