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Finding the Fourth Proportional to 20,684, 31,030.86 and 6,833

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Solution

The fourth proportional to 20,684, 31,030.86 and 6,833 is: 10,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684 : 31,030.86 = 6,833 : x
  2. Step 2: Convert to fraction form
    20,684/31,030.86 = 6,833/x
  3. Step 3: Cross multiply
    20,684x = 31,030.86 × 6,833
  4. Step 4: Simplify right side
    20,684x = 212,033,866.38
  5. Step 5: Solve for x
    x = 212,033,866.38/20,684
  6. Step 6: Final answer
    x = 10,251.11

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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.