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Finding the Fourth Proportional to 27,430.75, 41,121.48 and 9,896.47

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Solution

The fourth proportional to 27,430.75, 41,121.48 and 9,896.47 is: 14,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.75 : 41,121.48 = 9,896.47 : x
  2. Step 2: Convert to fraction form
    27,430.75/41,121.48 = 9,896.47/x
  3. Step 3: Cross multiply
    27,430.75x = 41,121.48 × 9,896.47
  4. Step 4: Simplify right side
    27,430.75x = 406,957,493.18
  5. Step 5: Solve for x
    x = 406,957,493.18/27,430.75
  6. Step 6: Final answer
    x = 14,835.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.