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Finding the Fourth Proportional to 2,814.43, 4,221.65 and 866.62

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Solution

The fourth proportional to 2,814.43, 4,221.65 and 866.62 is: 1,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.43 : 4,221.65 = 866.62 : x
  2. Step 2: Convert to fraction form
    2,814.43/4,221.65 = 866.62/x
  3. Step 3: Cross multiply
    2,814.43x = 4,221.65 × 866.62
  4. Step 4: Simplify right side
    2,814.43x = 3,658,566.32
  5. Step 5: Solve for x
    x = 3,658,566.32/2,814.43
  6. Step 6: Final answer
    x = 1,299.93

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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.