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Finding the Fourth Proportional to 1,894.85, 2,842.41 and 662.12

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Solution

The fourth proportional to 1,894.85, 2,842.41 and 662.12 is: 993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.85 : 2,842.41 = 662.12 : x
  2. Step 2: Convert to fraction form
    1,894.85/2,842.41 = 662.12/x
  3. Step 3: Cross multiply
    1,894.85x = 2,842.41 × 662.12
  4. Step 4: Simplify right side
    1,894.85x = 1,882,016.51
  5. Step 5: Solve for x
    x = 1,882,016.51/1,894.85
  6. Step 6: Final answer
    x = 993.23

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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.