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Finding the Fourth Proportional to 1,447.12, 1,997.08 and 817.64

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Solution

The fourth proportional to 1,447.12, 1,997.08 and 817.64 is: 1,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.12 : 1,997.08 = 817.64 : x
  2. Step 2: Convert to fraction form
    1,447.12/1,997.08 = 817.64/x
  3. Step 3: Cross multiply
    1,447.12x = 1,997.08 × 817.64
  4. Step 4: Simplify right side
    1,447.12x = 1,632,892.49
  5. Step 5: Solve for x
    x = 1,632,892.49/1,447.12
  6. Step 6: Final answer
    x = 1,128.37

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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.