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Finding the Fourth Proportional to 12,726.64, 19,069.44 and 6,886

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Solution

The fourth proportional to 12,726.64, 19,069.44 and 6,886 is: 10,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.64 : 19,069.44 = 6,886 : x
  2. Step 2: Convert to fraction form
    12,726.64/19,069.44 = 6,886/x
  3. Step 3: Cross multiply
    12,726.64x = 19,069.44 × 6,886
  4. Step 4: Simplify right side
    12,726.64x = 131,312,163.84
  5. Step 5: Solve for x
    x = 131,312,163.84/12,726.64
  6. Step 6: Final answer
    x = 10,317.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.