Home / 27,961-41,941.50-7,184.50

Finding the Fourth Proportional to 27,961, 41,941.50 and 7,184.50

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Solution

The fourth proportional to 27,961, 41,941.50 and 7,184.50 is: 10,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961 : 41,941.50 = 7,184.50 : x
  2. Step 2: Convert to fraction form
    27,961/41,941.50 = 7,184.50/x
  3. Step 3: Cross multiply
    27,961x = 41,941.50 × 7,184.50
  4. Step 4: Simplify right side
    27,961x = 301,328,706.75
  5. Step 5: Solve for x
    x = 301,328,706.75/27,961
  6. Step 6: Final answer
    x = 10,776.75

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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.