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Finding the Fourth Proportional to 8,018.56, 12,028.32 and 3,400

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Solution

The fourth proportional to 8,018.56, 12,028.32 and 3,400 is: 5,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,018.56 : 12,028.32 = 3,400 : x
  2. Step 2: Convert to fraction form
    8,018.56/12,028.32 = 3,400/x
  3. Step 3: Cross multiply
    8,018.56x = 12,028.32 × 3,400
  4. Step 4: Simplify right side
    8,018.56x = 40,896,288
  5. Step 5: Solve for x
    x = 40,896,288/8,018.56
  6. Step 6: Final answer
    x = 5,100.20

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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.