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Finding the Fourth Proportional to 37,666, 51,979.08 and 20,899.36

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Solution

The fourth proportional to 37,666, 51,979.08 and 20,899.36 is: 28,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,666 : 51,979.08 = 20,899.36 : x
  2. Step 2: Convert to fraction form
    37,666/51,979.08 = 20,899.36/x
  3. Step 3: Cross multiply
    37,666x = 51,979.08 × 20,899.36
  4. Step 4: Simplify right side
    37,666x = 1,086,329,505.39
  5. Step 5: Solve for x
    x = 1,086,329,505.39/37,666
  6. Step 6: Final answer
    x = 28,841.12

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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.