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Finding the Fourth Proportional to 37,978.43, 52,409.49 and 20,982.87

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Solution

The fourth proportional to 37,978.43, 52,409.49 and 20,982.87 is: 28,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.43 : 52,409.49 = 20,982.87 : x
  2. Step 2: Convert to fraction form
    37,978.43/52,409.49 = 20,982.87/x
  3. Step 3: Cross multiply
    37,978.43x = 52,409.49 × 20,982.87
  4. Step 4: Simplify right side
    37,978.43x = 1,099,701,515.44
  5. Step 5: Solve for x
    x = 1,099,701,515.44/37,978.43
  6. Step 6: Final answer
    x = 28,955.95

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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.