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Finding the Fourth Proportional to 37,668, 51,981.80 and 20,672.34

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Solution

The fourth proportional to 37,668, 51,981.80 and 20,672.34 is: 28,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,668 : 51,981.80 = 20,672.34 : x
  2. Step 2: Convert to fraction form
    37,668/51,981.80 = 20,672.34/x
  3. Step 3: Cross multiply
    37,668x = 51,981.80 × 20,672.34
  4. Step 4: Simplify right side
    37,668x = 1,074,585,443.41
  5. Step 5: Solve for x
    x = 1,074,585,443.41/37,668
  6. Step 6: Final answer
    x = 28,527.81

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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.