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Finding the Fourth Proportional to 3,586.39, 5,379.44 and 989.26

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Solution

The fourth proportional to 3,586.39, 5,379.44 and 989.26 is: 1,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.39 : 5,379.44 = 989.26 : x
  2. Step 2: Convert to fraction form
    3,586.39/5,379.44 = 989.26/x
  3. Step 3: Cross multiply
    3,586.39x = 5,379.44 × 989.26
  4. Step 4: Simplify right side
    3,586.39x = 5,321,637.92
  5. Step 5: Solve for x
    x = 5,321,637.92/3,586.39
  6. Step 6: Final answer
    x = 1,483.84

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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.