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Finding the Fourth Proportional to 1,992.41, 2,986.01 and 821.05

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Solution

The fourth proportional to 1,992.41, 2,986.01 and 821.05 is: 1,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.41 : 2,986.01 = 821.05 : x
  2. Step 2: Convert to fraction form
    1,992.41/2,986.01 = 821.05/x
  3. Step 3: Cross multiply
    1,992.41x = 2,986.01 × 821.05
  4. Step 4: Simplify right side
    1,992.41x = 2,451,676.43
  5. Step 5: Solve for x
    x = 2,451,676.43/1,992.41
  6. Step 6: Final answer
    x = 1,230.51

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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.