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Finding the Fourth Proportional to 11,966, 16,513.08 and 6,998

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Solution

The fourth proportional to 11,966, 16,513.08 and 6,998 is: 9,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966 : 16,513.08 = 6,998 : x
  2. Step 2: Convert to fraction form
    11,966/16,513.08 = 6,998/x
  3. Step 3: Cross multiply
    11,966x = 16,513.08 × 6,998
  4. Step 4: Simplify right side
    11,966x = 115,558,533.84
  5. Step 5: Solve for x
    x = 115,558,533.84/11,966
  6. Step 6: Final answer
    x = 9,657.24

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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.