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Finding the Fourth Proportional to 11,993.40, 17,981.90 and 5,416.00

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Solution

The fourth proportional to 11,993.40, 17,981.90 and 5,416.00 is: 8,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.40 : 17,981.90 = 5,416.00 : x
  2. Step 2: Convert to fraction form
    11,993.40/17,981.90 = 5,416.00/x
  3. Step 3: Cross multiply
    11,993.40x = 17,981.90 × 5,416.00
  4. Step 4: Simplify right side
    11,993.40x = 97,389,918.68
  5. Step 5: Solve for x
    x = 97,389,918.68/11,993.40
  6. Step 6: Final answer
    x = 8,120.29

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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.