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Finding the Fourth Proportional to 27,962, 41,943 and 7,185.50

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Solution

The fourth proportional to 27,962, 41,943 and 7,185.50 is: 10,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962 : 41,943 = 7,185.50 : x
  2. Step 2: Convert to fraction form
    27,962/41,943 = 7,185.50/x
  3. Step 3: Cross multiply
    27,962x = 41,943 × 7,185.50
  4. Step 4: Simplify right side
    27,962x = 301,381,426.50
  5. Step 5: Solve for x
    x = 301,381,426.50/27,962
  6. Step 6: Final answer
    x = 10,778.25

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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.