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Finding the Fourth Proportional to 25,650, 38,474.96 and 8,121.20

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Solution

The fourth proportional to 25,650, 38,474.96 and 8,121.20 is: 12,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,650 : 38,474.96 = 8,121.20 : x
  2. Step 2: Convert to fraction form
    25,650/38,474.96 = 8,121.20/x
  3. Step 3: Cross multiply
    25,650x = 38,474.96 × 8,121.20
  4. Step 4: Simplify right side
    25,650x = 312,462,845.15
  5. Step 5: Solve for x
    x = 312,462,845.15/25,650
  6. Step 6: Final answer
    x = 12,181.79

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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.