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Finding the Fourth Proportional to 8,264.94, 12,382.36 and 7,379.21

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Solution

The fourth proportional to 8,264.94, 12,382.36 and 7,379.21 is: 11,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.94 : 12,382.36 = 7,379.21 : x
  2. Step 2: Convert to fraction form
    8,264.94/12,382.36 = 7,379.21/x
  3. Step 3: Cross multiply
    8,264.94x = 12,382.36 × 7,379.21
  4. Step 4: Simplify right side
    8,264.94x = 91,371,954.38
  5. Step 5: Solve for x
    x = 91,371,954.38/8,264.94
  6. Step 6: Final answer
    x = 11,055.37

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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.