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Finding the Fourth Proportional to 13,274.50, 19,911.75 and 4,040.50

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Solution

The fourth proportional to 13,274.50, 19,911.75 and 4,040.50 is: 6,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.50 : 19,911.75 = 4,040.50 : x
  2. Step 2: Convert to fraction form
    13,274.50/19,911.75 = 4,040.50/x
  3. Step 3: Cross multiply
    13,274.50x = 19,911.75 × 4,040.50
  4. Step 4: Simplify right side
    13,274.50x = 80,453,425.88
  5. Step 5: Solve for x
    x = 80,453,425.88/13,274.50
  6. Step 6: Final answer
    x = 6,060.75

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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.