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Finding the Fourth Proportional to 1,861.90, 2,786.81 and 983.15

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Solution

The fourth proportional to 1,861.90, 2,786.81 and 983.15 is: 1,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.90 : 2,786.81 = 983.15 : x
  2. Step 2: Convert to fraction form
    1,861.90/2,786.81 = 983.15/x
  3. Step 3: Cross multiply
    1,861.90x = 2,786.81 × 983.15
  4. Step 4: Simplify right side
    1,861.90x = 2,739,843.85
  5. Step 5: Solve for x
    x = 2,739,843.85/1,861.90
  6. Step 6: Final answer
    x = 1,471.53

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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.