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Finding the Fourth Proportional to 36,573.76, 54,737.76 and 20,968

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Solution

The fourth proportional to 36,573.76, 54,737.76 and 20,968 is: 31,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,573.76 : 54,737.76 = 20,968 : x
  2. Step 2: Convert to fraction form
    36,573.76/54,737.76 = 20,968/x
  3. Step 3: Cross multiply
    36,573.76x = 54,737.76 × 20,968
  4. Step 4: Simplify right side
    36,573.76x = 1,147,741,351.68
  5. Step 5: Solve for x
    x = 1,147,741,351.68/36,573.76
  6. Step 6: Final answer
    x = 31,381.55

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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.