Home / 27,957-41,935.50-7,180.50

Finding the Fourth Proportional to 27,957, 41,935.50 and 7,180.50

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Solution

The fourth proportional to 27,957, 41,935.50 and 7,180.50 is: 10,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957 : 41,935.50 = 7,180.50 : x
  2. Step 2: Convert to fraction form
    27,957/41,935.50 = 7,180.50/x
  3. Step 3: Cross multiply
    27,957x = 41,935.50 × 7,180.50
  4. Step 4: Simplify right side
    27,957x = 301,117,857.75
  5. Step 5: Solve for x
    x = 301,117,857.75/27,957
  6. Step 6: Final answer
    x = 10,770.75

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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.