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Finding the Fourth Proportional to 2,086.74, 3,128.99 and 625.68

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Solution

The fourth proportional to 2,086.74, 3,128.99 and 625.68 is: 938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.74 : 3,128.99 = 625.68 : x
  2. Step 2: Convert to fraction form
    2,086.74/3,128.99 = 625.68/x
  3. Step 3: Cross multiply
    2,086.74x = 3,128.99 × 625.68
  4. Step 4: Simplify right side
    2,086.74x = 1,957,743.33
  5. Step 5: Solve for x
    x = 1,957,743.33/2,086.74
  6. Step 6: Final answer
    x = 938.18

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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.