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Finding the Fourth Proportional to 25,782, 38,673.22 and 10,199.60

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Solution

The fourth proportional to 25,782, 38,673.22 and 10,199.60 is: 15,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782 : 38,673.22 = 10,199.60 : x
  2. Step 2: Convert to fraction form
    25,782/38,673.22 = 10,199.60/x
  3. Step 3: Cross multiply
    25,782x = 38,673.22 × 10,199.60
  4. Step 4: Simplify right side
    25,782x = 394,451,374.71
  5. Step 5: Solve for x
    x = 394,451,374.71/25,782
  6. Step 6: Final answer
    x = 15,299.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.