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Finding the Fourth Proportional to 38,845, 53,606.16 and 22,078

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Solution

The fourth proportional to 38,845, 53,606.16 and 22,078 is: 30,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,845 : 53,606.16 = 22,078 : x
  2. Step 2: Convert to fraction form
    38,845/53,606.16 = 22,078/x
  3. Step 3: Cross multiply
    38,845x = 53,606.16 × 22,078
  4. Step 4: Simplify right side
    38,845x = 1,183,516,800.48
  5. Step 5: Solve for x
    x = 1,183,516,800.48/38,845
  6. Step 6: Final answer
    x = 30,467.67

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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.