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Finding the Fourth Proportional to 30,499.84, 45,716.94 and 19,936.62

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Solution

The fourth proportional to 30,499.84, 45,716.94 and 19,936.62 is: 29,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,499.84 : 45,716.94 = 19,936.62 : x
  2. Step 2: Convert to fraction form
    30,499.84/45,716.94 = 19,936.62/x
  3. Step 3: Cross multiply
    30,499.84x = 45,716.94 × 19,936.62
  4. Step 4: Simplify right side
    30,499.84x = 911,441,260.34
  5. Step 5: Solve for x
    x = 911,441,260.34/30,499.84
  6. Step 6: Final answer
    x = 29,883.48

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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.