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Finding the Fourth Proportional to 1,636.39, 2,257.96 and 937.63

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Solution

The fourth proportional to 1,636.39, 2,257.96 and 937.63 is: 1,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.39 : 2,257.96 = 937.63 : x
  2. Step 2: Convert to fraction form
    1,636.39/2,257.96 = 937.63/x
  3. Step 3: Cross multiply
    1,636.39x = 2,257.96 × 937.63
  4. Step 4: Simplify right side
    1,636.39x = 2,117,131.03
  5. Step 5: Solve for x
    x = 2,117,131.03/1,636.39
  6. Step 6: Final answer
    x = 1,293.78

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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.