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Finding the Fourth Proportional to 1,996.96, 2,997.28 and 1,010.47

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Solution

The fourth proportional to 1,996.96, 2,997.28 and 1,010.47 is: 1,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.96 : 2,997.28 = 1,010.47 : x
  2. Step 2: Convert to fraction form
    1,996.96/2,997.28 = 1,010.47/x
  3. Step 3: Cross multiply
    1,996.96x = 2,997.28 × 1,010.47
  4. Step 4: Simplify right side
    1,996.96x = 3,028,661.52
  5. Step 5: Solve for x
    x = 3,028,661.52/1,996.96
  6. Step 6: Final answer
    x = 1,516.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.