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Finding the Fourth Proportional to 25,736, 38,604 and 7,268.48

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Solution

The fourth proportional to 25,736, 38,604 and 7,268.48 is: 10,902.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,736 : 38,604 = 7,268.48 : x
  2. Step 2: Convert to fraction form
    25,736/38,604 = 7,268.48/x
  3. Step 3: Cross multiply
    25,736x = 38,604 × 7,268.48
  4. Step 4: Simplify right side
    25,736x = 280,592,401.92
  5. Step 5: Solve for x
    x = 280,592,401.92/25,736
  6. Step 6: Final answer
    x = 10,902.72

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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.