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Finding the Fourth Proportional to 5,449.56, 8,174.34 and 1,986

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Solution

The fourth proportional to 5,449.56, 8,174.34 and 1,986 is: 2,979

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.56 : 8,174.34 = 1,986 : x
  2. Step 2: Convert to fraction form
    5,449.56/8,174.34 = 1,986/x
  3. Step 3: Cross multiply
    5,449.56x = 8,174.34 × 1,986
  4. Step 4: Simplify right side
    5,449.56x = 16,234,239.24
  5. Step 5: Solve for x
    x = 16,234,239.24/5,449.56
  6. Step 6: Final answer
    x = 2,979

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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.