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Finding the Fourth Proportional to 8,462.16, 12,694.86 and 3,271.68

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Solution

The fourth proportional to 8,462.16, 12,694.86 and 3,271.68 is: 4,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.16 : 12,694.86 = 3,271.68 : x
  2. Step 2: Convert to fraction form
    8,462.16/12,694.86 = 3,271.68/x
  3. Step 3: Cross multiply
    8,462.16x = 12,694.86 × 3,271.68
  4. Step 4: Simplify right side
    8,462.16x = 41,533,519.56
  5. Step 5: Solve for x
    x = 41,533,519.56/8,462.16
  6. Step 6: Final answer
    x = 4,908.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.