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Finding the Fourth Proportional to 3,989, 5,983.74 and 1,253

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Solution

The fourth proportional to 3,989, 5,983.74 and 1,253 is: 1,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989 : 5,983.74 = 1,253 : x
  2. Step 2: Convert to fraction form
    3,989/5,983.74 = 1,253/x
  3. Step 3: Cross multiply
    3,989x = 5,983.74 × 1,253
  4. Step 4: Simplify right side
    3,989x = 7,497,626.22
  5. Step 5: Solve for x
    x = 7,497,626.22/3,989
  6. Step 6: Final answer
    x = 1,879.58

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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.