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Finding the Fourth Proportional to 1,723.26, 2,378.03 and 937.31

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Solution

The fourth proportional to 1,723.26, 2,378.03 and 937.31 is: 1,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.26 : 2,378.03 = 937.31 : x
  2. Step 2: Convert to fraction form
    1,723.26/2,378.03 = 937.31/x
  3. Step 3: Cross multiply
    1,723.26x = 2,378.03 × 937.31
  4. Step 4: Simplify right side
    1,723.26x = 2,228,934.72
  5. Step 5: Solve for x
    x = 2,228,934.72/1,723.26
  6. Step 6: Final answer
    x = 1,293.44

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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.