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Finding the Fourth Proportional to 38,501, 53,131.56 and 20,837

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Solution

The fourth proportional to 38,501, 53,131.56 and 20,837 is: 28,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,501 : 53,131.56 = 20,837 : x
  2. Step 2: Convert to fraction form
    38,501/53,131.56 = 20,837/x
  3. Step 3: Cross multiply
    38,501x = 53,131.56 × 20,837
  4. Step 4: Simplify right side
    38,501x = 1,107,102,315.72
  5. Step 5: Solve for x
    x = 1,107,102,315.72/38,501
  6. Step 6: Final answer
    x = 28,755.16

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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.