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Finding the Fourth Proportional to 37,539, 51,803.91 and 20,772

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Solution

The fourth proportional to 37,539, 51,803.91 and 20,772 is: 28,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,539 : 51,803.91 = 20,772 : x
  2. Step 2: Convert to fraction form
    37,539/51,803.91 = 20,772/x
  3. Step 3: Cross multiply
    37,539x = 51,803.91 × 20,772
  4. Step 4: Simplify right side
    37,539x = 1,076,070,818.52
  5. Step 5: Solve for x
    x = 1,076,070,818.52/37,539
  6. Step 6: Final answer
    x = 28,665.41

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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.