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Finding the Fourth Proportional to 33,119, 49,668.78 and 9,739.88

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Solution

The fourth proportional to 33,119, 49,668.78 and 9,739.88 is: 14,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,119 : 49,668.78 = 9,739.88 : x
  2. Step 2: Convert to fraction form
    33,119/49,668.78 = 9,739.88/x
  3. Step 3: Cross multiply
    33,119x = 49,668.78 × 9,739.88
  4. Step 4: Simplify right side
    33,119x = 483,767,956.95
  5. Step 5: Solve for x
    x = 483,767,956.95/33,119
  6. Step 6: Final answer
    x = 14,606.96

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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.