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Finding the Fourth Proportional to 12,866, 17,755.08 and 6,978

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Solution

The fourth proportional to 12,866, 17,755.08 and 6,978 is: 9,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866 : 17,755.08 = 6,978 : x
  2. Step 2: Convert to fraction form
    12,866/17,755.08 = 6,978/x
  3. Step 3: Cross multiply
    12,866x = 17,755.08 × 6,978
  4. Step 4: Simplify right side
    12,866x = 123,894,948.24
  5. Step 5: Solve for x
    x = 123,894,948.24/12,866
  6. Step 6: Final answer
    x = 9,629.64

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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.