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Finding the Fourth Proportional to 27,630, 41,443.92 and 7,907.76

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Solution

The fourth proportional to 27,630, 41,443.92 and 7,907.76 is: 11,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,630 : 41,443.92 = 7,907.76 : x
  2. Step 2: Convert to fraction form
    27,630/41,443.92 = 7,907.76/x
  3. Step 3: Cross multiply
    27,630x = 41,443.92 × 7,907.76
  4. Step 4: Simplify right side
    27,630x = 327,728,572.82
  5. Step 5: Solve for x
    x = 327,728,572.82/27,630
  6. Step 6: Final answer
    x = 11,861.33

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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.