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Finding the Fourth Proportional to 3,586.44, 5,379.66 and 989.31

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Solution

The fourth proportional to 3,586.44, 5,379.66 and 989.31 is: 1,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.44 : 5,379.66 = 989.31 : x
  2. Step 2: Convert to fraction form
    3,586.44/5,379.66 = 989.31/x
  3. Step 3: Cross multiply
    3,586.44x = 5,379.66 × 989.31
  4. Step 4: Simplify right side
    3,586.44x = 5,322,151.43
  5. Step 5: Solve for x
    x = 5,322,151.43/3,586.44
  6. Step 6: Final answer
    x = 1,483.97

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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.