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Finding the Fourth Proportional to 6,291, 8,678.28 and 3,771.90

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Solution

The fourth proportional to 6,291, 8,678.28 and 3,771.90 is: 5,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291 : 8,678.28 = 3,771.90 : x
  2. Step 2: Convert to fraction form
    6,291/8,678.28 = 3,771.90/x
  3. Step 3: Cross multiply
    6,291x = 8,678.28 × 3,771.90
  4. Step 4: Simplify right side
    6,291x = 32,733,604.33
  5. Step 5: Solve for x
    x = 32,733,604.33/6,291
  6. Step 6: Final answer
    x = 5,203.24

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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.