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Finding the Fourth Proportional to 6,781.80, 10,172.70 and 6,738.60

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Solution

The fourth proportional to 6,781.80, 10,172.70 and 6,738.60 is: 10,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.80 : 10,172.70 = 6,738.60 : x
  2. Step 2: Convert to fraction form
    6,781.80/10,172.70 = 6,738.60/x
  3. Step 3: Cross multiply
    6,781.80x = 10,172.70 × 6,738.60
  4. Step 4: Simplify right side
    6,781.80x = 68,549,756.22
  5. Step 5: Solve for x
    x = 68,549,756.22/6,781.80
  6. Step 6: Final answer
    x = 10,107.90

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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.