Home / 1,447.20-1,997.13-817.86

Finding the Fourth Proportional to 1,447.20, 1,997.13 and 817.86

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Solution

The fourth proportional to 1,447.20, 1,997.13 and 817.86 is: 1,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.20 : 1,997.13 = 817.86 : x
  2. Step 2: Convert to fraction form
    1,447.20/1,997.13 = 817.86/x
  3. Step 3: Cross multiply
    1,447.20x = 1,997.13 × 817.86
  4. Step 4: Simplify right side
    1,447.20x = 1,633,372.74
  5. Step 5: Solve for x
    x = 1,633,372.74/1,447.20
  6. Step 6: Final answer
    x = 1,128.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.