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Finding the Fourth Proportional to 6,751.68, 10,126.11 and 1,820.16

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Solution

The fourth proportional to 6,751.68, 10,126.11 and 1,820.16 is: 2,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.68 : 10,126.11 = 1,820.16 : x
  2. Step 2: Convert to fraction form
    6,751.68/10,126.11 = 1,820.16/x
  3. Step 3: Cross multiply
    6,751.68x = 10,126.11 × 1,820.16
  4. Step 4: Simplify right side
    6,751.68x = 18,431,140.38
  5. Step 5: Solve for x
    x = 18,431,140.38/6,751.68
  6. Step 6: Final answer
    x = 2,729.86

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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.