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Finding the Fourth Proportional to 1,903.86, 2,629.80 and 1,343.97

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Solution

The fourth proportional to 1,903.86, 2,629.80 and 1,343.97 is: 1,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.86 : 2,629.80 = 1,343.97 : x
  2. Step 2: Convert to fraction form
    1,903.86/2,629.80 = 1,343.97/x
  3. Step 3: Cross multiply
    1,903.86x = 2,629.80 × 1,343.97
  4. Step 4: Simplify right side
    1,903.86x = 3,534,372.31
  5. Step 5: Solve for x
    x = 3,534,372.31/1,903.86
  6. Step 6: Final answer
    x = 1,856.42

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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.