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Finding the Fourth Proportional to 3,162.56, 4,744.02 and 854

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Solution

The fourth proportional to 3,162.56, 4,744.02 and 854 is: 1,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.56 : 4,744.02 = 854 : x
  2. Step 2: Convert to fraction form
    3,162.56/4,744.02 = 854/x
  3. Step 3: Cross multiply
    3,162.56x = 4,744.02 × 854
  4. Step 4: Simplify right side
    3,162.56x = 4,051,393.08
  5. Step 5: Solve for x
    x = 4,051,393.08/3,162.56
  6. Step 6: Final answer
    x = 1,281.05

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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.