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Finding the Fourth Proportional to 8,019, 12,027.56 and 3,085.16

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Solution

The fourth proportional to 8,019, 12,027.56 and 3,085.16 is: 4,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019 : 12,027.56 = 3,085.16 : x
  2. Step 2: Convert to fraction form
    8,019/12,027.56 = 3,085.16/x
  3. Step 3: Cross multiply
    8,019x = 12,027.56 × 3,085.16
  4. Step 4: Simplify right side
    8,019x = 37,106,871.45
  5. Step 5: Solve for x
    x = 37,106,871.45/8,019
  6. Step 6: Final answer
    x = 4,627.37

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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.