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Finding the Fourth Proportional to 33,618, 50,392.80 and 13,907.28

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Solution

The fourth proportional to 33,618, 50,392.80 and 13,907.28 is: 20,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,618 : 50,392.80 = 13,907.28 : x
  2. Step 2: Convert to fraction form
    33,618/50,392.80 = 13,907.28/x
  3. Step 3: Cross multiply
    33,618x = 50,392.80 × 13,907.28
  4. Step 4: Simplify right side
    33,618x = 700,826,779.58
  5. Step 5: Solve for x
    x = 700,826,779.58/33,618
  6. Step 6: Final answer
    x = 20,846.77

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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.