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Finding the Fourth Proportional to 11,980.92, 17,983.92 and 5,746.20

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Solution

The fourth proportional to 11,980.92, 17,983.92 and 5,746.20 is: 8,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.92 : 17,983.92 = 5,746.20 : x
  2. Step 2: Convert to fraction form
    11,980.92/17,983.92 = 5,746.20/x
  3. Step 3: Cross multiply
    11,980.92x = 17,983.92 × 5,746.20
  4. Step 4: Simplify right side
    11,980.92x = 103,339,201.10
  5. Step 5: Solve for x
    x = 103,339,201.10/11,980.92
  6. Step 6: Final answer
    x = 8,625.31

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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.