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Finding the Fourth Proportional to 6,396.84, 9,578.66 and 5,478.30

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Solution

The fourth proportional to 6,396.84, 9,578.66 and 5,478.30 is: 8,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.84 : 9,578.66 = 5,478.30 : x
  2. Step 2: Convert to fraction form
    6,396.84/9,578.66 = 5,478.30/x
  3. Step 3: Cross multiply
    6,396.84x = 9,578.66 × 5,478.30
  4. Step 4: Simplify right side
    6,396.84x = 52,474,745.69
  5. Step 5: Solve for x
    x = 52,474,745.69/6,396.84
  6. Step 6: Final answer
    x = 8,203.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.