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Finding the Fourth Proportional to 2,814.53, 4,221.81 and 866.75

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Solution

The fourth proportional to 2,814.53, 4,221.81 and 866.75 is: 1,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.53 : 4,221.81 = 866.75 : x
  2. Step 2: Convert to fraction form
    2,814.53/4,221.81 = 866.75/x
  3. Step 3: Cross multiply
    2,814.53x = 4,221.81 × 866.75
  4. Step 4: Simplify right side
    2,814.53x = 3,659,232.71
  5. Step 5: Solve for x
    x = 3,659,232.71/2,814.53
  6. Step 6: Final answer
    x = 1,300.12

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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.