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Finding the Fourth Proportional to 5,162.63, 7,743.13 and 4,290.73

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Solution

The fourth proportional to 5,162.63, 7,743.13 and 4,290.73 is: 6,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.63 : 7,743.13 = 4,290.73 : x
  2. Step 2: Convert to fraction form
    5,162.63/7,743.13 = 4,290.73/x
  3. Step 3: Cross multiply
    5,162.63x = 7,743.13 × 4,290.73
  4. Step 4: Simplify right side
    5,162.63x = 33,223,650.10
  5. Step 5: Solve for x
    x = 33,223,650.10/5,162.63
  6. Step 6: Final answer
    x = 6,435.42

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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.