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Finding the Fourth Proportional to 1,906.82, 2,860.23 and 812.10

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Solution

The fourth proportional to 1,906.82, 2,860.23 and 812.10 is: 1,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.82 : 2,860.23 = 812.10 : x
  2. Step 2: Convert to fraction form
    1,906.82/2,860.23 = 812.10/x
  3. Step 3: Cross multiply
    1,906.82x = 2,860.23 × 812.10
  4. Step 4: Simplify right side
    1,906.82x = 2,322,792.78
  5. Step 5: Solve for x
    x = 2,322,792.78/1,906.82
  6. Step 6: Final answer
    x = 1,218.15

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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.