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Finding the Fourth Proportional to 14,005.25, 19,327.31 and 7,717.49

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Solution

The fourth proportional to 14,005.25, 19,327.31 and 7,717.49 is: 10,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.25 : 19,327.31 = 7,717.49 : x
  2. Step 2: Convert to fraction form
    14,005.25/19,327.31 = 7,717.49/x
  3. Step 3: Cross multiply
    14,005.25x = 19,327.31 × 7,717.49
  4. Step 4: Simplify right side
    14,005.25x = 149,158,321.65
  5. Step 5: Solve for x
    x = 149,158,321.65/14,005.25
  6. Step 6: Final answer
    x = 10,650.17

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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.