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Finding the Fourth Proportional to 1,922.57, 2,884.56 and 812.27

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Solution

The fourth proportional to 1,922.57, 2,884.56 and 812.27 is: 1,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.57 : 2,884.56 = 812.27 : x
  2. Step 2: Convert to fraction form
    1,922.57/2,884.56 = 812.27/x
  3. Step 3: Cross multiply
    1,922.57x = 2,884.56 × 812.27
  4. Step 4: Simplify right side
    1,922.57x = 2,343,027.13
  5. Step 5: Solve for x
    x = 2,343,027.13/1,922.57
  6. Step 6: Final answer
    x = 1,218.70

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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.