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Finding the Fourth Proportional to 6,786.08, 10,179.76 and 1,856.08

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Solution

The fourth proportional to 6,786.08, 10,179.76 and 1,856.08 is: 2,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.08 : 10,179.76 = 1,856.08 : x
  2. Step 2: Convert to fraction form
    6,786.08/10,179.76 = 1,856.08/x
  3. Step 3: Cross multiply
    6,786.08x = 10,179.76 × 1,856.08
  4. Step 4: Simplify right side
    6,786.08x = 18,894,448.94
  5. Step 5: Solve for x
    x = 18,894,448.94/6,786.08
  6. Step 6: Final answer
    x = 2,784.30

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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.