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Finding the Fourth Proportional to 12,137.60, 16,738.16 and 7,889.84

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Solution

The fourth proportional to 12,137.60, 16,738.16 and 7,889.84 is: 10,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.60 : 16,738.16 = 7,889.84 : x
  2. Step 2: Convert to fraction form
    12,137.60/16,738.16 = 7,889.84/x
  3. Step 3: Cross multiply
    12,137.60x = 16,738.16 × 7,889.84
  4. Step 4: Simplify right side
    12,137.60x = 132,061,404.29
  5. Step 5: Solve for x
    x = 132,061,404.29/12,137.60
  6. Step 6: Final answer
    x = 10,880.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.