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Finding the Fourth Proportional to 16,845, 25,257.78 and 7,485

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Solution

The fourth proportional to 16,845, 25,257.78 and 7,485 is: 11,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,845 : 25,257.78 = 7,485 : x
  2. Step 2: Convert to fraction form
    16,845/25,257.78 = 7,485/x
  3. Step 3: Cross multiply
    16,845x = 25,257.78 × 7,485
  4. Step 4: Simplify right side
    16,845x = 189,054,483.30
  5. Step 5: Solve for x
    x = 189,054,483.30/16,845
  6. Step 6: Final answer
    x = 11,223.18

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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.