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Finding the Fourth Proportional to 1,986.95, 2,981.44 and 817.85

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Solution

The fourth proportional to 1,986.95, 2,981.44 and 817.85 is: 1,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.95 : 2,981.44 = 817.85 : x
  2. Step 2: Convert to fraction form
    1,986.95/2,981.44 = 817.85/x
  3. Step 3: Cross multiply
    1,986.95x = 2,981.44 × 817.85
  4. Step 4: Simplify right side
    1,986.95x = 2,438,370.70
  5. Step 5: Solve for x
    x = 2,438,370.70/1,986.95
  6. Step 6: Final answer
    x = 1,227.19

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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.