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Finding the Fourth Proportional to 2,128.74, 3,193.50 and 812.43

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Solution

The fourth proportional to 2,128.74, 3,193.50 and 812.43 is: 1,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.74 : 3,193.50 = 812.43 : x
  2. Step 2: Convert to fraction form
    2,128.74/3,193.50 = 812.43/x
  3. Step 3: Cross multiply
    2,128.74x = 3,193.50 × 812.43
  4. Step 4: Simplify right side
    2,128.74x = 2,594,495.21
  5. Step 5: Solve for x
    x = 2,594,495.21/2,128.74
  6. Step 6: Final answer
    x = 1,218.79

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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.