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Finding the Fourth Proportional to 12,884, 17,780.64 and 7,296.80

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Solution

The fourth proportional to 12,884, 17,780.64 and 7,296.80 is: 10,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884 : 17,780.64 = 7,296.80 : x
  2. Step 2: Convert to fraction form
    12,884/17,780.64 = 7,296.80/x
  3. Step 3: Cross multiply
    12,884x = 17,780.64 × 7,296.80
  4. Step 4: Simplify right side
    12,884x = 129,741,773.95
  5. Step 5: Solve for x
    x = 129,741,773.95/12,884
  6. Step 6: Final answer
    x = 10,069.99

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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.