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Finding the Fourth Proportional to 27,152.82, 40,735.60 and 8,431.89

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Solution

The fourth proportional to 27,152.82, 40,735.60 and 8,431.89 is: 12,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152.82 : 40,735.60 = 8,431.89 : x
  2. Step 2: Convert to fraction form
    27,152.82/40,735.60 = 8,431.89/x
  3. Step 3: Cross multiply
    27,152.82x = 40,735.60 × 8,431.89
  4. Step 4: Simplify right side
    27,152.82x = 343,478,098.28
  5. Step 5: Solve for x
    x = 343,478,098.28/27,152.82
  6. Step 6: Final answer
    x = 12,649.81

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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.