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Finding the Fourth Proportional to 11,864, 16,373.76 and 6,896

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Solution

The fourth proportional to 11,864, 16,373.76 and 6,896 is: 9,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864 : 16,373.76 = 6,896 : x
  2. Step 2: Convert to fraction form
    11,864/16,373.76 = 6,896/x
  3. Step 3: Cross multiply
    11,864x = 16,373.76 × 6,896
  4. Step 4: Simplify right side
    11,864x = 112,913,448.96
  5. Step 5: Solve for x
    x = 112,913,448.96/11,864
  6. Step 6: Final answer
    x = 9,517.32

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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.