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Finding the Fourth Proportional to 6,930.58, 10,394.61 and 1,999

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Solution

The fourth proportional to 6,930.58, 10,394.61 and 1,999 is: 2,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.58 : 10,394.61 = 1,999 : x
  2. Step 2: Convert to fraction form
    6,930.58/10,394.61 = 1,999/x
  3. Step 3: Cross multiply
    6,930.58x = 10,394.61 × 1,999
  4. Step 4: Simplify right side
    6,930.58x = 20,778,825.39
  5. Step 5: Solve for x
    x = 20,778,825.39/6,930.58
  6. Step 6: Final answer
    x = 2,998.14

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1.5x scale

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.