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Finding the Fourth Proportional to 7,262, 10,021.56 and 3,950

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Solution

The fourth proportional to 7,262, 10,021.56 and 3,950 is: 5,451

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262 : 10,021.56 = 3,950 : x
  2. Step 2: Convert to fraction form
    7,262/10,021.56 = 3,950/x
  3. Step 3: Cross multiply
    7,262x = 10,021.56 × 3,950
  4. Step 4: Simplify right side
    7,262x = 39,585,162
  5. Step 5: Solve for x
    x = 39,585,162/7,262
  6. Step 6: Final answer
    x = 5,451

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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.