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Finding the Fourth Proportional to 2,757.34, 3,806.61 and 2,126.50

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Solution

The fourth proportional to 2,757.34, 3,806.61 and 2,126.50 is: 2,935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.34 : 3,806.61 = 2,126.50 : x
  2. Step 2: Convert to fraction form
    2,757.34/3,806.61 = 2,126.50/x
  3. Step 3: Cross multiply
    2,757.34x = 3,806.61 × 2,126.50
  4. Step 4: Simplify right side
    2,757.34x = 8,094,756.17
  5. Step 5: Solve for x
    x = 8,094,756.17/2,757.34
  6. Step 6: Final answer
    x = 2,935.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.