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Finding the Fourth Proportional to 18,756, 25,884.09 and 10,372.50

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Solution

The fourth proportional to 18,756, 25,884.09 and 10,372.50 is: 14,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,756 : 25,884.09 = 10,372.50 : x
  2. Step 2: Convert to fraction form
    18,756/25,884.09 = 10,372.50/x
  3. Step 3: Cross multiply
    18,756x = 25,884.09 × 10,372.50
  4. Step 4: Simplify right side
    18,756x = 268,482,723.53
  5. Step 5: Solve for x
    x = 268,482,723.53/18,756
  6. Step 6: Final answer
    x = 14,314.50

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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.