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Finding the Fourth Proportional to 5,877.36, 8,109.90 and 3,519

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Solution

The fourth proportional to 5,877.36, 8,109.90 and 3,519 is: 4,855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.36 : 8,109.90 = 3,519 : x
  2. Step 2: Convert to fraction form
    5,877.36/8,109.90 = 3,519/x
  3. Step 3: Cross multiply
    5,877.36x = 8,109.90 × 3,519
  4. Step 4: Simplify right side
    5,877.36x = 28,538,738.10
  5. Step 5: Solve for x
    x = 28,538,738.10/5,877.36
  6. Step 6: Final answer
    x = 4,855.71

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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.