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Finding the Fourth Proportional to 9,139.80, 13,698.90 and 6,828.60

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Solution

The fourth proportional to 9,139.80, 13,698.90 and 6,828.60 is: 10,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.80 : 13,698.90 = 6,828.60 : x
  2. Step 2: Convert to fraction form
    9,139.80/13,698.90 = 6,828.60/x
  3. Step 3: Cross multiply
    9,139.80x = 13,698.90 × 6,828.60
  4. Step 4: Simplify right side
    9,139.80x = 93,544,308.54
  5. Step 5: Solve for x
    x = 93,544,308.54/9,139.80
  6. Step 6: Final answer
    x = 10,234.83

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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.