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Finding the Fourth Proportional to 1,996.51, 2,995.36 and 1,442.47

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Solution

The fourth proportional to 1,996.51, 2,995.36 and 1,442.47 is: 2,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.51 : 2,995.36 = 1,442.47 : x
  2. Step 2: Convert to fraction form
    1,996.51/2,995.36 = 1,442.47/x
  3. Step 3: Cross multiply
    1,996.51x = 2,995.36 × 1,442.47
  4. Step 4: Simplify right side
    1,996.51x = 4,320,716.94
  5. Step 5: Solve for x
    x = 4,320,716.94/1,996.51
  6. Step 6: Final answer
    x = 2,164.13

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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.