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Finding the Fourth Proportional to 6,759.78, 10,140.64 and 2,080.18

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Solution

The fourth proportional to 6,759.78, 10,140.64 and 2,080.18 is: 3,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.78 : 10,140.64 = 2,080.18 : x
  2. Step 2: Convert to fraction form
    6,759.78/10,140.64 = 2,080.18/x
  3. Step 3: Cross multiply
    6,759.78x = 10,140.64 × 2,080.18
  4. Step 4: Simplify right side
    6,759.78x = 21,094,356.52
  5. Step 5: Solve for x
    x = 21,094,356.52/6,759.78
  6. Step 6: Final answer
    x = 3,120.57

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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.