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Finding the Fourth Proportional to 1,996.85, 2,749.71 and 1,952.60

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Solution

The fourth proportional to 1,996.85, 2,749.71 and 1,952.60 is: 2,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.85 : 2,749.71 = 1,952.60 : x
  2. Step 2: Convert to fraction form
    1,996.85/2,749.71 = 1,952.60/x
  3. Step 3: Cross multiply
    1,996.85x = 2,749.71 × 1,952.60
  4. Step 4: Simplify right side
    1,996.85x = 5,369,088.63
  5. Step 5: Solve for x
    x = 5,369,088.63/1,996.85
  6. Step 6: Final answer
    x = 2,688.78

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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.