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Finding the Fourth Proportional to 37,685, 52,006.92 and 20,918

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Solution

The fourth proportional to 37,685, 52,006.92 and 20,918 is: 28,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,685 : 52,006.92 = 20,918 : x
  2. Step 2: Convert to fraction form
    37,685/52,006.92 = 20,918/x
  3. Step 3: Cross multiply
    37,685x = 52,006.92 × 20,918
  4. Step 4: Simplify right side
    37,685x = 1,087,880,752.56
  5. Step 5: Solve for x
    x = 1,087,880,752.56/37,685
  6. Step 6: Final answer
    x = 28,867.74

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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.