Home / 6,782.26-10,172.80-2,102.16

Finding the Fourth Proportional to 6,782.26, 10,172.80 and 2,102.16

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Solution

The fourth proportional to 6,782.26, 10,172.80 and 2,102.16 is: 3,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.26 : 10,172.80 = 2,102.16 : x
  2. Step 2: Convert to fraction form
    6,782.26/10,172.80 = 2,102.16/x
  3. Step 3: Cross multiply
    6,782.26x = 10,172.80 × 2,102.16
  4. Step 4: Simplify right side
    6,782.26x = 21,384,859.50
  5. Step 5: Solve for x
    x = 21,384,859.50/6,782.26
  6. Step 6: Final answer
    x = 3,153.06

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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.