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Finding the Fourth Proportional to 37,586.25, 51,869.14 and 20,819.25

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Solution

The fourth proportional to 37,586.25, 51,869.14 and 20,819.25 is: 28,730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586.25 : 51,869.14 = 20,819.25 : x
  2. Step 2: Convert to fraction form
    37,586.25/51,869.14 = 20,819.25/x
  3. Step 3: Cross multiply
    37,586.25x = 51,869.14 × 20,819.25
  4. Step 4: Simplify right side
    37,586.25x = 1,079,876,540.90
  5. Step 5: Solve for x
    x = 1,079,876,540.90/37,586.25
  6. Step 6: Final answer
    x = 28,730.63

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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.