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Finding the Fourth Proportional to 8,579.75, 12,871.04 and 2,736

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Solution

The fourth proportional to 8,579.75, 12,871.04 and 2,736 is: 4,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,579.75 : 12,871.04 = 2,736 : x
  2. Step 2: Convert to fraction form
    8,579.75/12,871.04 = 2,736/x
  3. Step 3: Cross multiply
    8,579.75x = 12,871.04 × 2,736
  4. Step 4: Simplify right side
    8,579.75x = 35,215,151.76
  5. Step 5: Solve for x
    x = 35,215,151.76/8,579.75
  6. Step 6: Final answer
    x = 4,104.45

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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.