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Finding the Fourth Proportional to 6,933, 9,567.70 and 3,789.20

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Solution

The fourth proportional to 6,933, 9,567.70 and 3,789.20 is: 5,229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933 : 9,567.70 = 3,789.20 : x
  2. Step 2: Convert to fraction form
    6,933/9,567.70 = 3,789.20/x
  3. Step 3: Cross multiply
    6,933x = 9,567.70 × 3,789.20
  4. Step 4: Simplify right side
    6,933x = 36,253,928.84
  5. Step 5: Solve for x
    x = 36,253,928.84/6,933
  6. Step 6: Final answer
    x = 5,229.18

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Why These Related Problems?

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