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Finding the Fourth Proportional to 6,782, 9,358.37 and 3,950.00

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Solution

The fourth proportional to 6,782, 9,358.37 and 3,950.00 is: 5,450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782 : 9,358.37 = 3,950.00 : x
  2. Step 2: Convert to fraction form
    6,782/9,358.37 = 3,950.00/x
  3. Step 3: Cross multiply
    6,782x = 9,358.37 × 3,950.00
  4. Step 4: Simplify right side
    6,782x = 36,965,514.71
  5. Step 5: Solve for x
    x = 36,965,514.71/6,782
  6. Step 6: Final answer
    x = 5,450.53

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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.