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Finding the Fourth Proportional to 12,896, 17,796.48 and 7,008

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Solution

The fourth proportional to 12,896, 17,796.48 and 7,008 is: 9,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896 : 17,796.48 = 7,008 : x
  2. Step 2: Convert to fraction form
    12,896/17,796.48 = 7,008/x
  3. Step 3: Cross multiply
    12,896x = 17,796.48 × 7,008
  4. Step 4: Simplify right side
    12,896x = 124,717,731.84
  5. Step 5: Solve for x
    x = 124,717,731.84/12,896
  6. Step 6: Final answer
    x = 9,671.04

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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.