Home / 7,981.25-11,971.88-2,509.25

Finding the Fourth Proportional to 7,981.25, 11,971.88 and 2,509.25

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Solution

The fourth proportional to 7,981.25, 11,971.88 and 2,509.25 is: 3,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.25 : 11,971.88 = 2,509.25 : x
  2. Step 2: Convert to fraction form
    7,981.25/11,971.88 = 2,509.25/x
  3. Step 3: Cross multiply
    7,981.25x = 11,971.88 × 2,509.25
  4. Step 4: Simplify right side
    7,981.25x = 30,040,439.89
  5. Step 5: Solve for x
    x = 30,040,439.89/7,981.25
  6. Step 6: Final answer
    x = 3,763.88

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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.