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Finding the Fourth Proportional to 8,544, 12,816 and 2,700.84

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Solution

The fourth proportional to 8,544, 12,816 and 2,700.84 is: 4,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544 : 12,816 = 2,700.84 : x
  2. Step 2: Convert to fraction form
    8,544/12,816 = 2,700.84/x
  3. Step 3: Cross multiply
    8,544x = 12,816 × 2,700.84
  4. Step 4: Simplify right side
    8,544x = 34,613,965.44
  5. Step 5: Solve for x
    x = 34,613,965.44/8,544
  6. Step 6: Final answer
    x = 4,051.26

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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.