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Finding the Fourth Proportional to 6,751.09, 10,126.87 and 1,820.75

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Solution

The fourth proportional to 6,751.09, 10,126.87 and 1,820.75 is: 2,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.09 : 10,126.87 = 1,820.75 : x
  2. Step 2: Convert to fraction form
    6,751.09/10,126.87 = 1,820.75/x
  3. Step 3: Cross multiply
    6,751.09x = 10,126.87 × 1,820.75
  4. Step 4: Simplify right side
    6,751.09x = 18,438,519.32
  5. Step 5: Solve for x
    x = 18,438,519.32/6,751.09
  6. Step 6: Final answer
    x = 2,731.19

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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.