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Finding the Fourth Proportional to 3,450.46, 5,175.78 and 853.36

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Solution

The fourth proportional to 3,450.46, 5,175.78 and 853.36 is: 1,280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.46 : 5,175.78 = 853.36 : x
  2. Step 2: Convert to fraction form
    3,450.46/5,175.78 = 853.36/x
  3. Step 3: Cross multiply
    3,450.46x = 5,175.78 × 853.36
  4. Step 4: Simplify right side
    3,450.46x = 4,416,803.62
  5. Step 5: Solve for x
    x = 4,416,803.62/3,450.46
  6. Step 6: Final answer
    x = 1,280.06

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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.