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Finding the Fourth Proportional to 37,573, 51,854.52 and 20,806

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Solution

The fourth proportional to 37,573, 51,854.52 and 20,806 is: 28,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,573 : 51,854.52 = 20,806 : x
  2. Step 2: Convert to fraction form
    37,573/51,854.52 = 20,806/x
  3. Step 3: Cross multiply
    37,573x = 51,854.52 × 20,806
  4. Step 4: Simplify right side
    37,573x = 1,078,885,143.12
  5. Step 5: Solve for x
    x = 1,078,885,143.12/37,573
  6. Step 6: Final answer
    x = 28,714.37

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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.