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Finding the Fourth Proportional to 2,099.72, 3,148.54 and 866.68

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Solution

The fourth proportional to 2,099.72, 3,148.54 and 866.68 is: 1,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.72 : 3,148.54 = 866.68 : x
  2. Step 2: Convert to fraction form
    2,099.72/3,148.54 = 866.68/x
  3. Step 3: Cross multiply
    2,099.72x = 3,148.54 × 866.68
  4. Step 4: Simplify right side
    2,099.72x = 2,728,776.65
  5. Step 5: Solve for x
    x = 2,728,776.65/2,099.72
  6. Step 6: Final answer
    x = 1,299.59

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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.