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Finding the Fourth Proportional to 5,836.76, 8,758.47 and 2,138.50

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Solution

The fourth proportional to 5,836.76, 8,758.47 and 2,138.50 is: 3,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.76 : 8,758.47 = 2,138.50 : x
  2. Step 2: Convert to fraction form
    5,836.76/8,758.47 = 2,138.50/x
  3. Step 3: Cross multiply
    5,836.76x = 8,758.47 × 2,138.50
  4. Step 4: Simplify right side
    5,836.76x = 18,729,988.10
  5. Step 5: Solve for x
    x = 18,729,988.10/5,836.76
  6. Step 6: Final answer
    x = 3,208.97

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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.