Home / 5,989-8,984.72-2,096.14

Finding the Fourth Proportional to 5,989, 8,984.72 and 2,096.14

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Solution

The fourth proportional to 5,989, 8,984.72 and 2,096.14 is: 3,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989 : 8,984.72 = 2,096.14 : x
  2. Step 2: Convert to fraction form
    5,989/8,984.72 = 2,096.14/x
  3. Step 3: Cross multiply
    5,989x = 8,984.72 × 2,096.14
  4. Step 4: Simplify right side
    5,989x = 18,833,230.98
  5. Step 5: Solve for x
    x = 18,833,230.98/5,989
  6. Step 6: Final answer
    x = 3,144.64

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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.