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Finding the Fourth Proportional to 2,087.54, 3,131.31 and 626.54

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Solution

The fourth proportional to 2,087.54, 3,131.31 and 626.54 is: 939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.54 : 3,131.31 = 626.54 : x
  2. Step 2: Convert to fraction form
    2,087.54/3,131.31 = 626.54/x
  3. Step 3: Cross multiply
    2,087.54x = 3,131.31 × 626.54
  4. Step 4: Simplify right side
    2,087.54x = 1,961,890.97
  5. Step 5: Solve for x
    x = 1,961,890.97/2,087.54
  6. Step 6: Final answer
    x = 939.81

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.