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Finding the Fourth Proportional to 8,052.88, 12,078.78 and 2,209

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Solution

The fourth proportional to 8,052.88, 12,078.78 and 2,209 is: 3,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.88 : 12,078.78 = 2,209 : x
  2. Step 2: Convert to fraction form
    8,052.88/12,078.78 = 2,209/x
  3. Step 3: Cross multiply
    8,052.88x = 12,078.78 × 2,209
  4. Step 4: Simplify right side
    8,052.88x = 26,682,025.02
  5. Step 5: Solve for x
    x = 26,682,025.02/8,052.88
  6. Step 6: Final answer
    x = 3,313.35

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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.