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Finding the Fourth Proportional to 2,078.55, 3,108.65 and 1,849.05

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Solution

The fourth proportional to 2,078.55, 3,108.65 and 1,849.05 is: 2,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.55 : 3,108.65 = 1,849.05 : x
  2. Step 2: Convert to fraction form
    2,078.55/3,108.65 = 1,849.05/x
  3. Step 3: Cross multiply
    2,078.55x = 3,108.65 × 1,849.05
  4. Step 4: Simplify right side
    2,078.55x = 5,748,040.04
  5. Step 5: Solve for x
    x = 5,748,040.04/2,078.55
  6. Step 6: Final answer
    x = 2,765.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.