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Finding the Fourth Proportional to 20,576.49, 30,905.74 and 19,415.96

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Solution

The fourth proportional to 20,576.49, 30,905.74 and 19,415.96 is: 29,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.49 : 30,905.74 = 19,415.96 : x
  2. Step 2: Convert to fraction form
    20,576.49/30,905.74 = 19,415.96/x
  3. Step 3: Cross multiply
    20,576.49x = 30,905.74 × 19,415.96
  4. Step 4: Simplify right side
    20,576.49x = 600,064,611.61
  5. Step 5: Solve for x
    x = 600,064,611.61/20,576.49
  6. Step 6: Final answer
    x = 29,162.63

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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.