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Finding the Fourth Proportional to 25,380, 38,071.80 and 7,847.55

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Solution

The fourth proportional to 25,380, 38,071.80 and 7,847.55 is: 11,771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380 : 38,071.80 = 7,847.55 : x
  2. Step 2: Convert to fraction form
    25,380/38,071.80 = 7,847.55/x
  3. Step 3: Cross multiply
    25,380x = 38,071.80 × 7,847.55
  4. Step 4: Simplify right side
    25,380x = 298,770,354.09
  5. Step 5: Solve for x
    x = 298,770,354.09/25,380
  6. Step 6: Final answer
    x = 11,771.88

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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.