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Finding the Fourth Proportional to 10,121.69, 13,969.15 and 5,929.94

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Solution

The fourth proportional to 10,121.69, 13,969.15 and 5,929.94 is: 8,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.69 : 13,969.15 = 5,929.94 : x
  2. Step 2: Convert to fraction form
    10,121.69/13,969.15 = 5,929.94/x
  3. Step 3: Cross multiply
    10,121.69x = 13,969.15 × 5,929.94
  4. Step 4: Simplify right side
    10,121.69x = 82,836,221.35
  5. Step 5: Solve for x
    x = 82,836,221.35/10,121.69
  6. Step 6: Final answer
    x = 8,184.03

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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.