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Finding the Fourth Proportional to 2,896.74, 3,996.81 and 1,637.82

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Solution

The fourth proportional to 2,896.74, 3,996.81 and 1,637.82 is: 2,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.74 : 3,996.81 = 1,637.82 : x
  2. Step 2: Convert to fraction form
    2,896.74/3,996.81 = 1,637.82/x
  3. Step 3: Cross multiply
    2,896.74x = 3,996.81 × 1,637.82
  4. Step 4: Simplify right side
    2,896.74x = 6,546,055.35
  5. Step 5: Solve for x
    x = 6,546,055.35/2,896.74
  6. Step 6: Final answer
    x = 2,259.80

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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.