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Finding the Fourth Proportional to 4,481.31, 6,721.97 and 1,559.64

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Solution

The fourth proportional to 4,481.31, 6,721.97 and 1,559.64 is: 2,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481.31 : 6,721.97 = 1,559.64 : x
  2. Step 2: Convert to fraction form
    4,481.31/6,721.97 = 1,559.64/x
  3. Step 3: Cross multiply
    4,481.31x = 6,721.97 × 1,559.64
  4. Step 4: Simplify right side
    4,481.31x = 10,483,853.29
  5. Step 5: Solve for x
    x = 10,483,853.29/4,481.31
  6. Step 6: Final answer
    x = 2,339.46

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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.