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Finding the Fourth Proportional to 31,782.69, 43,859.07 and 17,636.58

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Solution

The fourth proportional to 31,782.69, 43,859.07 and 17,636.58 is: 24,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.69 : 43,859.07 = 17,636.58 : x
  2. Step 2: Convert to fraction form
    31,782.69/43,859.07 = 17,636.58/x
  3. Step 3: Cross multiply
    31,782.69x = 43,859.07 × 17,636.58
  4. Step 4: Simplify right side
    31,782.69x = 773,523,996.78
  5. Step 5: Solve for x
    x = 773,523,996.78/31,782.69
  6. Step 6: Final answer
    x = 24,337.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.