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Finding the Fourth Proportional to 37,644.64, 51,950 and 20,878.72

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Solution

The fourth proportional to 37,644.64, 51,950 and 20,878.72 is: 28,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.64 : 51,950 = 20,878.72 : x
  2. Step 2: Convert to fraction form
    37,644.64/51,950 = 20,878.72/x
  3. Step 3: Cross multiply
    37,644.64x = 51,950 × 20,878.72
  4. Step 4: Simplify right side
    37,644.64x = 1,084,649,504
  5. Step 5: Solve for x
    x = 1,084,649,504/37,644.64
  6. Step 6: Final answer
    x = 28,812.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.