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Finding the Fourth Proportional to 5,648.84, 7,795.69 and 3,131.22

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Solution

The fourth proportional to 5,648.84, 7,795.69 and 3,131.22 is: 4,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.84 : 7,795.69 = 3,131.22 : x
  2. Step 2: Convert to fraction form
    5,648.84/7,795.69 = 3,131.22/x
  3. Step 3: Cross multiply
    5,648.84x = 7,795.69 × 3,131.22
  4. Step 4: Simplify right side
    5,648.84x = 24,410,020.44
  5. Step 5: Solve for x
    x = 24,410,020.44/5,648.84
  6. Step 6: Final answer
    x = 4,321.24

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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.