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Finding the Fourth Proportional to 16,978.41, 25,470.65 and 6,981.39

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Solution

The fourth proportional to 16,978.41, 25,470.65 and 6,981.39 is: 10,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.41 : 25,470.65 = 6,981.39 : x
  2. Step 2: Convert to fraction form
    16,978.41/25,470.65 = 6,981.39/x
  3. Step 3: Cross multiply
    16,978.41x = 25,470.65 × 6,981.39
  4. Step 4: Simplify right side
    16,978.41x = 177,820,558.66
  5. Step 5: Solve for x
    x = 177,820,558.66/16,978.41
  6. Step 6: Final answer
    x = 10,473.33

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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.