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Finding the Fourth Proportional to 6,364.78, 8,783.79 and 4,236.64

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Solution

The fourth proportional to 6,364.78, 8,783.79 and 4,236.64 is: 5,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.78 : 8,783.79 = 4,236.64 : x
  2. Step 2: Convert to fraction form
    6,364.78/8,783.79 = 4,236.64/x
  3. Step 3: Cross multiply
    6,364.78x = 8,783.79 × 4,236.64
  4. Step 4: Simplify right side
    6,364.78x = 37,213,756.07
  5. Step 5: Solve for x
    x = 37,213,756.07/6,364.78
  6. Step 6: Final answer
    x = 5,846.83

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1.5x scale

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.