Home / 2,814.34-4,221.72-839.81

Finding the Fourth Proportional to 2,814.34, 4,221.72 and 839.81

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Solution

The fourth proportional to 2,814.34, 4,221.72 and 839.81 is: 1,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.34 : 4,221.72 = 839.81 : x
  2. Step 2: Convert to fraction form
    2,814.34/4,221.72 = 839.81/x
  3. Step 3: Cross multiply
    2,814.34x = 4,221.72 × 839.81
  4. Step 4: Simplify right side
    2,814.34x = 3,545,437.81
  5. Step 5: Solve for x
    x = 3,545,437.81/2,814.34
  6. Step 6: Final answer
    x = 1,259.78

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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.