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Finding the Fourth Proportional to 2,157.88, 3,236.82 and 1,003

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Solution

The fourth proportional to 2,157.88, 3,236.82 and 1,003 is: 1,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.88 : 3,236.82 = 1,003 : x
  2. Step 2: Convert to fraction form
    2,157.88/3,236.82 = 1,003/x
  3. Step 3: Cross multiply
    2,157.88x = 3,236.82 × 1,003
  4. Step 4: Simplify right side
    2,157.88x = 3,246,530.46
  5. Step 5: Solve for x
    x = 3,246,530.46/2,157.88
  6. Step 6: Final answer
    x = 1,504.50

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.