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Finding the Fourth Proportional to 3,781.44, 5,668.64 and 3,470

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Solution

The fourth proportional to 3,781.44, 5,668.64 and 3,470 is: 5,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.44 : 5,668.64 = 3,470 : x
  2. Step 2: Convert to fraction form
    3,781.44/5,668.64 = 3,470/x
  3. Step 3: Cross multiply
    3,781.44x = 5,668.64 × 3,470
  4. Step 4: Simplify right side
    3,781.44x = 19,670,180.80
  5. Step 5: Solve for x
    x = 19,670,180.80/3,781.44
  6. Step 6: Final answer
    x = 5,201.77

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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.