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Finding the Fourth Proportional to 3,780, 5,668.92 and 1,589.22

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Solution

The fourth proportional to 3,780, 5,668.92 and 1,589.22 is: 2,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,668.92 = 1,589.22 : x
  2. Step 2: Convert to fraction form
    3,780/5,668.92 = 1,589.22/x
  3. Step 3: Cross multiply
    3,780x = 5,668.92 × 1,589.22
  4. Step 4: Simplify right side
    3,780x = 9,009,161.04
  5. Step 5: Solve for x
    x = 9,009,161.04/3,780
  6. Step 6: Final answer
    x = 2,383.38

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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.