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Finding the Fourth Proportional to 18,782, 25,912.88 and 10,824.08

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Solution

The fourth proportional to 18,782, 25,912.88 and 10,824.08 is: 14,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782 : 25,912.88 = 10,824.08 : x
  2. Step 2: Convert to fraction form
    18,782/25,912.88 = 10,824.08/x
  3. Step 3: Cross multiply
    18,782x = 25,912.88 × 10,824.08
  4. Step 4: Simplify right side
    18,782x = 280,483,086.15
  5. Step 5: Solve for x
    x = 280,483,086.15/18,782
  6. Step 6: Final answer
    x = 14,933.61

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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.