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Finding the Fourth Proportional to 25,855.81, 38,784.02 and 8,325.79

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Solution

The fourth proportional to 25,855.81, 38,784.02 and 8,325.79 is: 12,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,855.81 : 38,784.02 = 8,325.79 : x
  2. Step 2: Convert to fraction form
    25,855.81/38,784.02 = 8,325.79/x
  3. Step 3: Cross multiply
    25,855.81x = 38,784.02 × 8,325.79
  4. Step 4: Simplify right side
    25,855.81x = 322,907,467.29
  5. Step 5: Solve for x
    x = 322,907,467.29/25,855.81
  6. Step 6: Final answer
    x = 12,488.78

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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.