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Finding the Fourth Proportional to 9,981, 14,972.22 and 3,825

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Solution

The fourth proportional to 9,981, 14,972.22 and 3,825 is: 5,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981 : 14,972.22 = 3,825 : x
  2. Step 2: Convert to fraction form
    9,981/14,972.22 = 3,825/x
  3. Step 3: Cross multiply
    9,981x = 14,972.22 × 3,825
  4. Step 4: Simplify right side
    9,981x = 57,268,741.50
  5. Step 5: Solve for x
    x = 57,268,741.50/9,981
  6. Step 6: Final answer
    x = 5,737.78

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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.