Home / 2,821.23-4,231.04-846.78

Finding the Fourth Proportional to 2,821.23, 4,231.04 and 846.78

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Solution

The fourth proportional to 2,821.23, 4,231.04 and 846.78 is: 1,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.23 : 4,231.04 = 846.78 : x
  2. Step 2: Convert to fraction form
    2,821.23/4,231.04 = 846.78/x
  3. Step 3: Cross multiply
    2,821.23x = 4,231.04 × 846.78
  4. Step 4: Simplify right side
    2,821.23x = 3,582,755.82
  5. Step 5: Solve for x
    x = 3,582,755.82/2,821.23
  6. Step 6: Final answer
    x = 1,269.93

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1.5x scale

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.