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Finding the Fourth Proportional to 34,286.80, 51,462.60 and 21,164.80

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Solution

The fourth proportional to 34,286.80, 51,462.60 and 21,164.80 is: 31,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,286.80 : 51,462.60 = 21,164.80 : x
  2. Step 2: Convert to fraction form
    34,286.80/51,462.60 = 21,164.80/x
  3. Step 3: Cross multiply
    34,286.80x = 51,462.60 × 21,164.80
  4. Step 4: Simplify right side
    34,286.80x = 1,089,195,636.48
  5. Step 5: Solve for x
    x = 1,089,195,636.48/34,286.80
  6. Step 6: Final answer
    x = 31,767.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.