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Finding the Fourth Proportional to 37,660.78, 51,971.90 and 20,893.78

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Solution

The fourth proportional to 37,660.78, 51,971.90 and 20,893.78 is: 28,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,660.78 : 51,971.90 = 20,893.78 : x
  2. Step 2: Convert to fraction form
    37,660.78/51,971.90 = 20,893.78/x
  3. Step 3: Cross multiply
    37,660.78x = 51,971.90 × 20,893.78
  4. Step 4: Simplify right side
    37,660.78x = 1,085,889,405.28
  5. Step 5: Solve for x
    x = 1,085,889,405.28/37,660.78
  6. Step 6: Final answer
    x = 28,833.43

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1.5x scale

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.