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Finding the Fourth Proportional to 8,052.80, 12,080.10 and 2,506.10

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Solution

The fourth proportional to 8,052.80, 12,080.10 and 2,506.10 is: 3,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.80 : 12,080.10 = 2,506.10 : x
  2. Step 2: Convert to fraction form
    8,052.80/12,080.10 = 2,506.10/x
  3. Step 3: Cross multiply
    8,052.80x = 12,080.10 × 2,506.10
  4. Step 4: Simplify right side
    8,052.80x = 30,273,938.61
  5. Step 5: Solve for x
    x = 30,273,938.61/8,052.80
  6. Step 6: Final answer
    x = 3,759.43

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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.