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Finding the Fourth Proportional to 8,467.74, 12,694.73 and 7,311.47

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Solution

The fourth proportional to 8,467.74, 12,694.73 and 7,311.47 is: 10,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.74 : 12,694.73 = 7,311.47 : x
  2. Step 2: Convert to fraction form
    8,467.74/12,694.73 = 7,311.47/x
  3. Step 3: Cross multiply
    8,467.74x = 12,694.73 × 7,311.47
  4. Step 4: Simplify right side
    8,467.74x = 92,817,037.52
  5. Step 5: Solve for x
    x = 92,817,037.52/8,467.74
  6. Step 6: Final answer
    x = 10,961.25

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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.