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Finding the Fourth Proportional to 25,450.56, 38,178 and 9,859.68

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Solution

The fourth proportional to 25,450.56, 38,178 and 9,859.68 is: 14,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,450.56 : 38,178 = 9,859.68 : x
  2. Step 2: Convert to fraction form
    25,450.56/38,178 = 9,859.68/x
  3. Step 3: Cross multiply
    25,450.56x = 38,178 × 9,859.68
  4. Step 4: Simplify right side
    25,450.56x = 376,422,863.04
  5. Step 5: Solve for x
    x = 376,422,863.04/25,450.56
  6. Step 6: Final answer
    x = 14,790.36

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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.