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Finding the Fourth Proportional to 8,138, 12,201.24 and 5,798

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Solution

The fourth proportional to 8,138, 12,201.24 and 5,798 is: 8,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138 : 12,201.24 = 5,798 : x
  2. Step 2: Convert to fraction form
    8,138/12,201.24 = 5,798/x
  3. Step 3: Cross multiply
    8,138x = 12,201.24 × 5,798
  4. Step 4: Simplify right side
    8,138x = 70,742,789.52
  5. Step 5: Solve for x
    x = 70,742,789.52/8,138
  6. Step 6: Final answer
    x = 8,692.90

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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.