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Finding the Fourth Proportional to 11,976, 16,528 and 7,008

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Solution

The fourth proportional to 11,976, 16,528 and 7,008 is: 9,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 16,528 = 7,008 : x
  2. Step 2: Convert to fraction form
    11,976/16,528 = 7,008/x
  3. Step 3: Cross multiply
    11,976x = 16,528 × 7,008
  4. Step 4: Simplify right side
    11,976x = 115,828,224
  5. Step 5: Solve for x
    x = 115,828,224/11,976
  6. Step 6: Final answer
    x = 9,671.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.