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Finding the Fourth Proportional to 2,086.38, 3,130.07 and 625.57

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Solution

The fourth proportional to 2,086.38, 3,130.07 and 625.57 is: 938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.38 : 3,130.07 = 625.57 : x
  2. Step 2: Convert to fraction form
    2,086.38/3,130.07 = 625.57/x
  3. Step 3: Cross multiply
    2,086.38x = 3,130.07 × 625.57
  4. Step 4: Simplify right side
    2,086.38x = 1,958,086.30
  5. Step 5: Solve for x
    x = 1,958,086.30/2,086.38
  6. Step 6: Final answer
    x = 938.51

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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.