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Finding the Fourth Proportional to 8,028.42, 12,040.82 and 3,865.84

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Solution

The fourth proportional to 8,028.42, 12,040.82 and 3,865.84 is: 5,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.42 : 12,040.82 = 3,865.84 : x
  2. Step 2: Convert to fraction form
    8,028.42/12,040.82 = 3,865.84/x
  3. Step 3: Cross multiply
    8,028.42x = 12,040.82 × 3,865.84
  4. Step 4: Simplify right side
    8,028.42x = 46,547,883.59
  5. Step 5: Solve for x
    x = 46,547,883.59/8,028.42
  6. Step 6: Final answer
    x = 5,797.89

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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.