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Finding the Fourth Proportional to 6,778.16, 9,352.44 and 3,982.64

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Solution

The fourth proportional to 6,778.16, 9,352.44 and 3,982.64 is: 5,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.16 : 9,352.44 = 3,982.64 : x
  2. Step 2: Convert to fraction form
    6,778.16/9,352.44 = 3,982.64/x
  3. Step 3: Cross multiply
    6,778.16x = 9,352.44 × 3,982.64
  4. Step 4: Simplify right side
    6,778.16x = 37,247,401.64
  5. Step 5: Solve for x
    x = 37,247,401.64/6,778.16
  6. Step 6: Final answer
    x = 5,495.21

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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.