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Finding the Fourth Proportional to 7,011.65, 10,519.01 and 2,081

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Solution

The fourth proportional to 7,011.65, 10,519.01 and 2,081 is: 3,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.65 : 10,519.01 = 2,081 : x
  2. Step 2: Convert to fraction form
    7,011.65/10,519.01 = 2,081/x
  3. Step 3: Cross multiply
    7,011.65x = 10,519.01 × 2,081
  4. Step 4: Simplify right side
    7,011.65x = 21,890,059.81
  5. Step 5: Solve for x
    x = 21,890,059.81/7,011.65
  6. Step 6: Final answer
    x = 3,121.96

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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.