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Finding the Fourth Proportional to 9,993.82, 14,999.94 and 9,391

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Solution

The fourth proportional to 9,993.82, 14,999.94 and 9,391 is: 14,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.82 : 14,999.94 = 9,391 : x
  2. Step 2: Convert to fraction form
    9,993.82/14,999.94 = 9,391/x
  3. Step 3: Cross multiply
    9,993.82x = 14,999.94 × 9,391
  4. Step 4: Simplify right side
    9,993.82x = 140,864,436.54
  5. Step 5: Solve for x
    x = 140,864,436.54/9,993.82
  6. Step 6: Final answer
    x = 14,095.15

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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.