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Finding the Fourth Proportional to 2,814.64, 4,222.44 and 866.48

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Solution

The fourth proportional to 2,814.64, 4,222.44 and 866.48 is: 1,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.64 : 4,222.44 = 866.48 : x
  2. Step 2: Convert to fraction form
    2,814.64/4,222.44 = 866.48/x
  3. Step 3: Cross multiply
    2,814.64x = 4,222.44 × 866.48
  4. Step 4: Simplify right side
    2,814.64x = 3,658,659.81
  5. Step 5: Solve for x
    x = 3,658,659.81/2,814.64
  6. Step 6: Final answer
    x = 1,299.87

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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.