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Finding the Fourth Proportional to 3,846.59, 5,308.29 and 2,078.19

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Solution

The fourth proportional to 3,846.59, 5,308.29 and 2,078.19 is: 2,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.59 : 5,308.29 = 2,078.19 : x
  2. Step 2: Convert to fraction form
    3,846.59/5,308.29 = 2,078.19/x
  3. Step 3: Cross multiply
    3,846.59x = 5,308.29 × 2,078.19
  4. Step 4: Simplify right side
    3,846.59x = 11,031,635.20
  5. Step 5: Solve for x
    x = 11,031,635.20/3,846.59
  6. Step 6: Final answer
    x = 2,867.90

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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.