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Finding the Fourth Proportional to 30,496.50, 45,744.75 and 12,028.50

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Solution

The fourth proportional to 30,496.50, 45,744.75 and 12,028.50 is: 18,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.50 : 45,744.75 = 12,028.50 : x
  2. Step 2: Convert to fraction form
    30,496.50/45,744.75 = 12,028.50/x
  3. Step 3: Cross multiply
    30,496.50x = 45,744.75 × 12,028.50
  4. Step 4: Simplify right side
    30,496.50x = 550,240,725.38
  5. Step 5: Solve for x
    x = 550,240,725.38/30,496.50
  6. Step 6: Final answer
    x = 18,042.75

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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.