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Finding the Fourth Proportional to 12,242.30, 18,354.48 and 3,917.54

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Solution

The fourth proportional to 12,242.30, 18,354.48 and 3,917.54 is: 5,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.30 : 18,354.48 = 3,917.54 : x
  2. Step 2: Convert to fraction form
    12,242.30/18,354.48 = 3,917.54/x
  3. Step 3: Cross multiply
    12,242.30x = 18,354.48 × 3,917.54
  4. Step 4: Simplify right side
    12,242.30x = 71,904,409.58
  5. Step 5: Solve for x
    x = 71,904,409.58/12,242.30
  6. Step 6: Final answer
    x = 5,873.44

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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.