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Finding the Fourth Proportional to 8,071.56, 12,107.58 and 2,228.22

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Solution

The fourth proportional to 8,071.56, 12,107.58 and 2,228.22 is: 3,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.56 : 12,107.58 = 2,228.22 : x
  2. Step 2: Convert to fraction form
    8,071.56/12,107.58 = 2,228.22/x
  3. Step 3: Cross multiply
    8,071.56x = 12,107.58 × 2,228.22
  4. Step 4: Simplify right side
    8,071.56x = 26,978,351.91
  5. Step 5: Solve for x
    x = 26,978,351.91/8,071.56
  6. Step 6: Final answer
    x = 3,342.40

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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.