Home / 2,816-4,225.44-1,084.16

Finding the Fourth Proportional to 2,816, 4,225.44 and 1,084.16

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Solution

The fourth proportional to 2,816, 4,225.44 and 1,084.16 is: 1,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816 : 4,225.44 = 1,084.16 : x
  2. Step 2: Convert to fraction form
    2,816/4,225.44 = 1,084.16/x
  3. Step 3: Cross multiply
    2,816x = 4,225.44 × 1,084.16
  4. Step 4: Simplify right side
    2,816x = 4,581,053.03
  5. Step 5: Solve for x
    x = 4,581,053.03/2,816
  6. Step 6: Final answer
    x = 1,626.79

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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.