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Finding the Fourth Proportional to 8,544.10, 12,806.10 and 3,858.64

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Solution

The fourth proportional to 8,544.10, 12,806.10 and 3,858.64 is: 5,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.10 : 12,806.10 = 3,858.64 : x
  2. Step 2: Convert to fraction form
    8,544.10/12,806.10 = 3,858.64/x
  3. Step 3: Cross multiply
    8,544.10x = 12,806.10 × 3,858.64
  4. Step 4: Simplify right side
    8,544.10x = 49,414,129.70
  5. Step 5: Solve for x
    x = 49,414,129.70/8,544.10
  6. Step 6: Final answer
    x = 5,783.42

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1.5x scale

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.