Home / 7,975-11,964.21-2,428.80

Finding the Fourth Proportional to 7,975, 11,964.21 and 2,428.80

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Solution

The fourth proportional to 7,975, 11,964.21 and 2,428.80 is: 3,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975 : 11,964.21 = 2,428.80 : x
  2. Step 2: Convert to fraction form
    7,975/11,964.21 = 2,428.80/x
  3. Step 3: Cross multiply
    7,975x = 11,964.21 × 2,428.80
  4. Step 4: Simplify right side
    7,975x = 29,058,673.25
  5. Step 5: Solve for x
    x = 29,058,673.25/7,975
  6. Step 6: Final answer
    x = 3,643.72

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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.