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Finding the Fourth Proportional to 13,837, 20,755.28 and 6,437.32

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Solution

The fourth proportional to 13,837, 20,755.28 and 6,437.32 is: 9,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837 : 20,755.28 = 6,437.32 : x
  2. Step 2: Convert to fraction form
    13,837/20,755.28 = 6,437.32/x
  3. Step 3: Cross multiply
    13,837x = 20,755.28 × 6,437.32
  4. Step 4: Simplify right side
    13,837x = 133,608,379.05
  5. Step 5: Solve for x
    x = 133,608,379.05/13,837
  6. Step 6: Final answer
    x = 9,655.88

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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.