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Finding the Fourth Proportional to 2,750.55, 4,126.74 and 1,829.74

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Solution

The fourth proportional to 2,750.55, 4,126.74 and 1,829.74 is: 2,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.55 : 4,126.74 = 1,829.74 : x
  2. Step 2: Convert to fraction form
    2,750.55/4,126.74 = 1,829.74/x
  3. Step 3: Cross multiply
    2,750.55x = 4,126.74 × 1,829.74
  4. Step 4: Simplify right side
    2,750.55x = 7,550,861.25
  5. Step 5: Solve for x
    x = 7,550,861.25/2,750.55
  6. Step 6: Final answer
    x = 2,745.22

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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.