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Finding the Fourth Proportional to 1,636.30, 2,257.86 and 937.66

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Solution

The fourth proportional to 1,636.30, 2,257.86 and 937.66 is: 1,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.30 : 2,257.86 = 937.66 : x
  2. Step 2: Convert to fraction form
    1,636.30/2,257.86 = 937.66/x
  3. Step 3: Cross multiply
    1,636.30x = 2,257.86 × 937.66
  4. Step 4: Simplify right side
    1,636.30x = 2,117,105.01
  5. Step 5: Solve for x
    x = 2,117,105.01/1,636.30
  6. Step 6: Final answer
    x = 1,293.84

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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.