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Finding the Fourth Proportional to 3,162, 4,743 and 853.50

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Solution

The fourth proportional to 3,162, 4,743 and 853.50 is: 1,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162 : 4,743 = 853.50 : x
  2. Step 2: Convert to fraction form
    3,162/4,743 = 853.50/x
  3. Step 3: Cross multiply
    3,162x = 4,743 × 853.50
  4. Step 4: Simplify right side
    3,162x = 4,048,150.50
  5. Step 5: Solve for x
    x = 4,048,150.50/3,162
  6. Step 6: Final answer
    x = 1,280.25

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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.