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Finding the Fourth Proportional to 1,908.12, 2,859.60 and 812.18

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Solution

The fourth proportional to 1,908.12, 2,859.60 and 812.18 is: 1,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.12 : 2,859.60 = 812.18 : x
  2. Step 2: Convert to fraction form
    1,908.12/2,859.60 = 812.18/x
  3. Step 3: Cross multiply
    1,908.12x = 2,859.60 × 812.18
  4. Step 4: Simplify right side
    1,908.12x = 2,322,509.93
  5. Step 5: Solve for x
    x = 2,322,509.93/1,908.12
  6. Step 6: Final answer
    x = 1,217.17

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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.