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Finding the Fourth Proportional to 25,425.15, 38,146.88 and 8,786.87

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Solution

The fourth proportional to 25,425.15, 38,146.88 and 8,786.87 is: 13,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,425.15 : 38,146.88 = 8,786.87 : x
  2. Step 2: Convert to fraction form
    25,425.15/38,146.88 = 8,786.87/x
  3. Step 3: Cross multiply
    25,425.15x = 38,146.88 × 8,786.87
  4. Step 4: Simplify right side
    25,425.15x = 335,191,440.80
  5. Step 5: Solve for x
    x = 335,191,440.80/25,425.15
  6. Step 6: Final answer
    x = 13,183.46

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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.