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Finding the Fourth Proportional to 12,326.30, 17,011.79 and 6,949.77

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Solution

The fourth proportional to 12,326.30, 17,011.79 and 6,949.77 is: 9,591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.30 : 17,011.79 = 6,949.77 : x
  2. Step 2: Convert to fraction form
    12,326.30/17,011.79 = 6,949.77/x
  3. Step 3: Cross multiply
    12,326.30x = 17,011.79 × 6,949.77
  4. Step 4: Simplify right side
    12,326.30x = 118,228,065.17
  5. Step 5: Solve for x
    x = 118,228,065.17/12,326.30
  6. Step 6: Final answer
    x = 9,591.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.