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Finding the Fourth Proportional to 31,698, 43,743.24 and 20,520

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Solution

The fourth proportional to 31,698, 43,743.24 and 20,520 is: 28,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698 : 43,743.24 = 20,520 : x
  2. Step 2: Convert to fraction form
    31,698/43,743.24 = 20,520/x
  3. Step 3: Cross multiply
    31,698x = 43,743.24 × 20,520
  4. Step 4: Simplify right side
    31,698x = 897,611,284.80
  5. Step 5: Solve for x
    x = 897,611,284.80/31,698
  6. Step 6: Final answer
    x = 28,317.60

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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.