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Finding the Fourth Proportional to 38,489, 53,114.98 and 20,825

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Solution

The fourth proportional to 38,489, 53,114.98 and 20,825 is: 28,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489 : 53,114.98 = 20,825 : x
  2. Step 2: Convert to fraction form
    38,489/53,114.98 = 20,825/x
  3. Step 3: Cross multiply
    38,489x = 53,114.98 × 20,825
  4. Step 4: Simplify right side
    38,489x = 1,106,119,458.50
  5. Step 5: Solve for x
    x = 1,106,119,458.50/38,489
  6. Step 6: Final answer
    x = 28,738.59

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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.