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Finding the Fourth Proportional to 16,978.11, 25,458.81 and 6,981.03

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Solution

The fourth proportional to 16,978.11, 25,458.81 and 6,981.03 is: 10,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.11 : 25,458.81 = 6,981.03 : x
  2. Step 2: Convert to fraction form
    16,978.11/25,458.81 = 6,981.03/x
  3. Step 3: Cross multiply
    16,978.11x = 25,458.81 × 6,981.03
  4. Step 4: Simplify right side
    16,978.11x = 177,728,716.37
  5. Step 5: Solve for x
    x = 177,728,716.37/16,978.11
  6. Step 6: Final answer
    x = 10,468.11

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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.