Home / 6,433-9,650.40-1,991.03

Finding the Fourth Proportional to 6,433, 9,650.40 and 1,991.03

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Solution

The fourth proportional to 6,433, 9,650.40 and 1,991.03 is: 2,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433 : 9,650.40 = 1,991.03 : x
  2. Step 2: Convert to fraction form
    6,433/9,650.40 = 1,991.03/x
  3. Step 3: Cross multiply
    6,433x = 9,650.40 × 1,991.03
  4. Step 4: Simplify right side
    6,433x = 19,214,235.91
  5. Step 5: Solve for x
    x = 19,214,235.91/6,433
  6. Step 6: Final answer
    x = 2,986.82

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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.