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Finding the Fourth Proportional to 12,960, 17,884.80 and 7,072

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Solution

The fourth proportional to 12,960, 17,884.80 and 7,072 is: 9,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960 : 17,884.80 = 7,072 : x
  2. Step 2: Convert to fraction form
    12,960/17,884.80 = 7,072/x
  3. Step 3: Cross multiply
    12,960x = 17,884.80 × 7,072
  4. Step 4: Simplify right side
    12,960x = 126,481,305.60
  5. Step 5: Solve for x
    x = 126,481,305.60/12,960
  6. Step 6: Final answer
    x = 9,759.36

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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.