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Finding the Fourth Proportional to 6,364.78, 8,783.74 and 3,846.88

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Solution

The fourth proportional to 6,364.78, 8,783.74 and 3,846.88 is: 5,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.78 : 8,783.74 = 3,846.88 : x
  2. Step 2: Convert to fraction form
    6,364.78/8,783.74 = 3,846.88/x
  3. Step 3: Cross multiply
    6,364.78x = 8,783.74 × 3,846.88
  4. Step 4: Simplify right side
    6,364.78x = 33,789,960.11
  5. Step 5: Solve for x
    x = 33,789,960.11/6,364.78
  6. Step 6: Final answer
    x = 5,308.90

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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.