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Finding the Fourth Proportional to 33,648, 50,437.80 and 13,937.28

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Solution

The fourth proportional to 33,648, 50,437.80 and 13,937.28 is: 20,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648 : 50,437.80 = 13,937.28 : x
  2. Step 2: Convert to fraction form
    33,648/50,437.80 = 13,937.28/x
  3. Step 3: Cross multiply
    33,648x = 50,437.80 × 13,937.28
  4. Step 4: Simplify right side
    33,648x = 702,965,741.18
  5. Step 5: Solve for x
    x = 702,965,741.18/33,648
  6. Step 6: Final answer
    x = 20,891.75

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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.