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Finding the Fourth Proportional to 2,896.51, 3,996.90 and 1,637.39

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Solution

The fourth proportional to 2,896.51, 3,996.90 and 1,637.39 is: 2,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.51 : 3,996.90 = 1,637.39 : x
  2. Step 2: Convert to fraction form
    2,896.51/3,996.90 = 1,637.39/x
  3. Step 3: Cross multiply
    2,896.51x = 3,996.90 × 1,637.39
  4. Step 4: Simplify right side
    2,896.51x = 6,544,484.09
  5. Step 5: Solve for x
    x = 6,544,484.09/2,896.51
  6. Step 6: Final answer
    x = 2,259.44

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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.