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Finding the Fourth Proportional to 18,661.44, 25,752.96 and 10,278

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Solution

The fourth proportional to 18,661.44, 25,752.96 and 10,278 is: 14,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.44 : 25,752.96 = 10,278 : x
  2. Step 2: Convert to fraction form
    18,661.44/25,752.96 = 10,278/x
  3. Step 3: Cross multiply
    18,661.44x = 25,752.96 × 10,278
  4. Step 4: Simplify right side
    18,661.44x = 264,688,922.88
  5. Step 5: Solve for x
    x = 264,688,922.88/18,661.44
  6. Step 6: Final answer
    x = 14,183.74

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Why These Related Problems?

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