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Finding the Fourth Proportional to 8,206.65, 12,311.93 and 2,660.01

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Solution

The fourth proportional to 8,206.65, 12,311.93 and 2,660.01 is: 3,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.65 : 12,311.93 = 2,660.01 : x
  2. Step 2: Convert to fraction form
    8,206.65/12,311.93 = 2,660.01/x
  3. Step 3: Cross multiply
    8,206.65x = 12,311.93 × 2,660.01
  4. Step 4: Simplify right side
    8,206.65x = 32,749,817.40
  5. Step 5: Solve for x
    x = 32,749,817.40/8,206.65
  6. Step 6: Final answer
    x = 3,990.64

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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.