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Finding the Fourth Proportional to 5,890.50, 8,836.11 and 1,786.50

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Solution

The fourth proportional to 5,890.50, 8,836.11 and 1,786.50 is: 2,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.50 : 8,836.11 = 1,786.50 : x
  2. Step 2: Convert to fraction form
    5,890.50/8,836.11 = 1,786.50/x
  3. Step 3: Cross multiply
    5,890.50x = 8,836.11 × 1,786.50
  4. Step 4: Simplify right side
    5,890.50x = 15,785,710.52
  5. Step 5: Solve for x
    x = 15,785,710.52/5,890.50
  6. Step 6: Final answer
    x = 2,679.86

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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.