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Finding the Fourth Proportional to 37,210, 51,350.60 and 20,443

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Solution

The fourth proportional to 37,210, 51,350.60 and 20,443 is: 28,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,210 : 51,350.60 = 20,443 : x
  2. Step 2: Convert to fraction form
    37,210/51,350.60 = 20,443/x
  3. Step 3: Cross multiply
    37,210x = 51,350.60 × 20,443
  4. Step 4: Simplify right side
    37,210x = 1,049,760,315.80
  5. Step 5: Solve for x
    x = 1,049,760,315.80/37,210
  6. Step 6: Final answer
    x = 28,211.78

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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.