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Finding the Fourth Proportional to 6,479.75, 9,737.90 and 3,847.70

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Solution

The fourth proportional to 6,479.75, 9,737.90 and 3,847.70 is: 5,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.75 : 9,737.90 = 3,847.70 : x
  2. Step 2: Convert to fraction form
    6,479.75/9,737.90 = 3,847.70/x
  3. Step 3: Cross multiply
    6,479.75x = 9,737.90 × 3,847.70
  4. Step 4: Simplify right side
    6,479.75x = 37,468,449.90
  5. Step 5: Solve for x
    x = 37,468,449.90/6,479.75
  6. Step 6: Final answer
    x = 5,782.40

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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.