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Finding the Fourth Proportional to 6,478.32, 8,940.38 and 3,825.74

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Solution

The fourth proportional to 6,478.32, 8,940.38 and 3,825.74 is: 5,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.32 : 8,940.38 = 3,825.74 : x
  2. Step 2: Convert to fraction form
    6,478.32/8,940.38 = 3,825.74/x
  3. Step 3: Cross multiply
    6,478.32x = 8,940.38 × 3,825.74
  4. Step 4: Simplify right side
    6,478.32x = 34,203,572.60
  5. Step 5: Solve for x
    x = 34,203,572.60/6,478.32
  6. Step 6: Final answer
    x = 5,279.69

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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.