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Finding the Fourth Proportional to 2,129.26, 3,193.62 and 569.35

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Solution

The fourth proportional to 2,129.26, 3,193.62 and 569.35 is: 853.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.26 : 3,193.62 = 569.35 : x
  2. Step 2: Convert to fraction form
    2,129.26/3,193.62 = 569.35/x
  3. Step 3: Cross multiply
    2,129.26x = 3,193.62 × 569.35
  4. Step 4: Simplify right side
    2,129.26x = 1,818,287.55
  5. Step 5: Solve for x
    x = 1,818,287.55/2,129.26
  6. Step 6: Final answer
    x = 853.95

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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.