Home / 2,821.80-3,892.48-1,982.16

Finding the Fourth Proportional to 2,821.80, 3,892.48 and 1,982.16

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Solution

The fourth proportional to 2,821.80, 3,892.48 and 1,982.16 is: 2,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.80 : 3,892.48 = 1,982.16 : x
  2. Step 2: Convert to fraction form
    2,821.80/3,892.48 = 1,982.16/x
  3. Step 3: Cross multiply
    2,821.80x = 3,892.48 × 1,982.16
  4. Step 4: Simplify right side
    2,821.80x = 7,715,518.16
  5. Step 5: Solve for x
    x = 7,715,518.16/2,821.80
  6. Step 6: Final answer
    x = 2,734.25

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1.5x scale

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.