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Finding the Fourth Proportional to 25,764.72, 38,648.88 and 8,235.96

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Solution

The fourth proportional to 25,764.72, 38,648.88 and 8,235.96 is: 12,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,764.72 : 38,648.88 = 8,235.96 : x
  2. Step 2: Convert to fraction form
    25,764.72/38,648.88 = 8,235.96/x
  3. Step 3: Cross multiply
    25,764.72x = 38,648.88 × 8,235.96
  4. Step 4: Simplify right side
    25,764.72x = 318,310,629.72
  5. Step 5: Solve for x
    x = 318,310,629.72/25,764.72
  6. Step 6: Final answer
    x = 12,354.52

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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.