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Finding the Fourth Proportional to 6,378.56, 8,747.50 and 6,112.46

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Solution

The fourth proportional to 6,378.56, 8,747.50 and 6,112.46 is: 8,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.56 : 8,747.50 = 6,112.46 : x
  2. Step 2: Convert to fraction form
    6,378.56/8,747.50 = 6,112.46/x
  3. Step 3: Cross multiply
    6,378.56x = 8,747.50 × 6,112.46
  4. Step 4: Simplify right side
    6,378.56x = 53,468,743.85
  5. Step 5: Solve for x
    x = 53,468,743.85/6,378.56
  6. Step 6: Final answer
    x = 8,382.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.