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Finding the Fourth Proportional to 1,996.54, 2,749.28 and 1,952.29

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Solution

The fourth proportional to 1,996.54, 2,749.28 and 1,952.29 is: 2,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.54 : 2,749.28 = 1,952.29 : x
  2. Step 2: Convert to fraction form
    1,996.54/2,749.28 = 1,952.29/x
  3. Step 3: Cross multiply
    1,996.54x = 2,749.28 × 1,952.29
  4. Step 4: Simplify right side
    1,996.54x = 5,367,378.10
  5. Step 5: Solve for x
    x = 5,367,378.10/1,996.54
  6. Step 6: Final answer
    x = 2,688.34

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Double scale
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Similar ratio
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1.5x scale

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.