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Finding the Fourth Proportional to 1,992.68, 2,986.68 and 821.96

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Solution

The fourth proportional to 1,992.68, 2,986.68 and 821.96 is: 1,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.68 : 2,986.68 = 821.96 : x
  2. Step 2: Convert to fraction form
    1,992.68/2,986.68 = 821.96/x
  3. Step 3: Cross multiply
    1,992.68x = 2,986.68 × 821.96
  4. Step 4: Simplify right side
    1,992.68x = 2,454,931.49
  5. Step 5: Solve for x
    x = 2,454,931.49/1,992.68
  6. Step 6: Final answer
    x = 1,231.97

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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.