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Finding the Fourth Proportional to 8,053.53, 12,080.70 and 2,788.80

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Solution

The fourth proportional to 8,053.53, 12,080.70 and 2,788.80 is: 4,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.53 : 12,080.70 = 2,788.80 : x
  2. Step 2: Convert to fraction form
    8,053.53/12,080.70 = 2,788.80/x
  3. Step 3: Cross multiply
    8,053.53x = 12,080.70 × 2,788.80
  4. Step 4: Simplify right side
    8,053.53x = 33,690,656.16
  5. Step 5: Solve for x
    x = 33,690,656.16/8,053.53
  6. Step 6: Final answer
    x = 4,183.34

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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.