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Finding the Fourth Proportional to 5,986.99, 8,979.67 and 1,604.49

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Solution

The fourth proportional to 5,986.99, 8,979.67 and 1,604.49 is: 2,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.99 : 8,979.67 = 1,604.49 : x
  2. Step 2: Convert to fraction form
    5,986.99/8,979.67 = 1,604.49/x
  3. Step 3: Cross multiply
    5,986.99x = 8,979.67 × 1,604.49
  4. Step 4: Simplify right side
    5,986.99x = 14,407,790.72
  5. Step 5: Solve for x
    x = 14,407,790.72/5,986.99
  6. Step 6: Final answer
    x = 2,406.52

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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.