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Finding the Fourth Proportional to 25,830.20, 38,751.90 and 8,300.20

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Solution

The fourth proportional to 25,830.20, 38,751.90 and 8,300.20 is: 12,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.20 : 38,751.90 = 8,300.20 : x
  2. Step 2: Convert to fraction form
    25,830.20/38,751.90 = 8,300.20/x
  3. Step 3: Cross multiply
    25,830.20x = 38,751.90 × 8,300.20
  4. Step 4: Simplify right side
    25,830.20x = 321,648,520.38
  5. Step 5: Solve for x
    x = 321,648,520.38/25,830.20
  6. Step 6: Final answer
    x = 12,452.42

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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.