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Finding the Fourth Proportional to 25,830, 38,745.72 and 8,301.60

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Solution

The fourth proportional to 25,830, 38,745.72 and 8,301.60 is: 12,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830 : 38,745.72 = 8,301.60 : x
  2. Step 2: Convert to fraction form
    25,830/38,745.72 = 8,301.60/x
  3. Step 3: Cross multiply
    25,830x = 38,745.72 × 8,301.60
  4. Step 4: Simplify right side
    25,830x = 321,651,469.15
  5. Step 5: Solve for x
    x = 321,651,469.15/25,830
  6. Step 6: Final answer
    x = 12,452.63

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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.