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Finding the Fourth Proportional to 2,375.69, 3,279.38 and 1,589.45

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Solution

The fourth proportional to 2,375.69, 3,279.38 and 1,589.45 is: 2,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.69 : 3,279.38 = 1,589.45 : x
  2. Step 2: Convert to fraction form
    2,375.69/3,279.38 = 1,589.45/x
  3. Step 3: Cross multiply
    2,375.69x = 3,279.38 × 1,589.45
  4. Step 4: Simplify right side
    2,375.69x = 5,212,386.20
  5. Step 5: Solve for x
    x = 5,212,386.20/2,375.69
  6. Step 6: Final answer
    x = 2,194.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.