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Finding the Fourth Proportional to 2,129.43, 3,193.89 and 569.55

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Solution

The fourth proportional to 2,129.43, 3,193.89 and 569.55 is: 854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.43 : 3,193.89 = 569.55 : x
  2. Step 2: Convert to fraction form
    2,129.43/3,193.89 = 569.55/x
  3. Step 3: Cross multiply
    2,129.43x = 3,193.89 × 569.55
  4. Step 4: Simplify right side
    2,129.43x = 1,819,080.05
  5. Step 5: Solve for x
    x = 1,819,080.05/2,129.43
  6. Step 6: Final answer
    x = 854.26

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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.