Home / 2,842.81-3,922.96-1,583.80

Finding the Fourth Proportional to 2,842.81, 3,922.96 and 1,583.80

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Solution

The fourth proportional to 2,842.81, 3,922.96 and 1,583.80 is: 2,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.81 : 3,922.96 = 1,583.80 : x
  2. Step 2: Convert to fraction form
    2,842.81/3,922.96 = 1,583.80/x
  3. Step 3: Cross multiply
    2,842.81x = 3,922.96 × 1,583.80
  4. Step 4: Simplify right side
    2,842.81x = 6,213,184.05
  5. Step 5: Solve for x
    x = 6,213,184.05/2,842.81
  6. Step 6: Final answer
    x = 2,185.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.