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Finding the Fourth Proportional to 8,076.99, 12,115.61 and 2,154

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Solution

The fourth proportional to 8,076.99, 12,115.61 and 2,154 is: 3,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.99 : 12,115.61 = 2,154 : x
  2. Step 2: Convert to fraction form
    8,076.99/12,115.61 = 2,154/x
  3. Step 3: Cross multiply
    8,076.99x = 12,115.61 × 2,154
  4. Step 4: Simplify right side
    8,076.99x = 26,097,013.17
  5. Step 5: Solve for x
    x = 26,097,013.17/8,076.99
  6. Step 6: Final answer
    x = 3,231.03

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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.