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Finding the Fourth Proportional to 8,311.68, 12,467.64 and 2,071.68

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Solution

The fourth proportional to 8,311.68, 12,467.64 and 2,071.68 is: 3,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.68 : 12,467.64 = 2,071.68 : x
  2. Step 2: Convert to fraction form
    8,311.68/12,467.64 = 2,071.68/x
  3. Step 3: Cross multiply
    8,311.68x = 12,467.64 × 2,071.68
  4. Step 4: Simplify right side
    8,311.68x = 25,828,960.44
  5. Step 5: Solve for x
    x = 25,828,960.44/8,311.68
  6. Step 6: Final answer
    x = 3,107.55

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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.