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Finding the Fourth Proportional to 25,455, 38,183.22 and 6,987

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Solution

The fourth proportional to 25,455, 38,183.22 and 6,987 is: 10,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,455 : 38,183.22 = 6,987 : x
  2. Step 2: Convert to fraction form
    25,455/38,183.22 = 6,987/x
  3. Step 3: Cross multiply
    25,455x = 38,183.22 × 6,987
  4. Step 4: Simplify right side
    25,455x = 266,786,158.14
  5. Step 5: Solve for x
    x = 266,786,158.14/25,455
  6. Step 6: Final answer
    x = 10,480.70

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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.