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Finding the Fourth Proportional to 38,505, 53,137.06 and 20,841

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Solution

The fourth proportional to 38,505, 53,137.06 and 20,841 is: 28,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,505 : 53,137.06 = 20,841 : x
  2. Step 2: Convert to fraction form
    38,505/53,137.06 = 20,841/x
  3. Step 3: Cross multiply
    38,505x = 53,137.06 × 20,841
  4. Step 4: Simplify right side
    38,505x = 1,107,429,467.46
  5. Step 5: Solve for x
    x = 1,107,429,467.46/38,505
  6. Step 6: Final answer
    x = 28,760.67

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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.