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Finding the Fourth Proportional to 30,999.96, 42,794.64 and 19,828.44

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Solution

The fourth proportional to 30,999.96, 42,794.64 and 19,828.44 is: 27,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.96 : 42,794.64 = 19,828.44 : x
  2. Step 2: Convert to fraction form
    30,999.96/42,794.64 = 19,828.44/x
  3. Step 3: Cross multiply
    30,999.96x = 42,794.64 × 19,828.44
  4. Step 4: Simplify right side
    30,999.96x = 848,550,951.56
  5. Step 5: Solve for x
    x = 848,550,951.56/30,999.96
  6. Step 6: Final answer
    x = 27,372.65

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1.5x scale

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.