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Finding the Fourth Proportional to 2,760.08, 4,133.08 and 2,678

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Solution

The fourth proportional to 2,760.08, 4,133.08 and 2,678 is: 4,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.08 : 4,133.08 = 2,678 : x
  2. Step 2: Convert to fraction form
    2,760.08/4,133.08 = 2,678/x
  3. Step 3: Cross multiply
    2,760.08x = 4,133.08 × 2,678
  4. Step 4: Simplify right side
    2,760.08x = 11,068,388.24
  5. Step 5: Solve for x
    x = 11,068,388.24/2,760.08
  6. Step 6: Final answer
    x = 4,010.17

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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.