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Finding the Fourth Proportional to 11,731.68, 17,600.10 and 3,940.32

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Solution

The fourth proportional to 11,731.68, 17,600.10 and 3,940.32 is: 5,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.68 : 17,600.10 = 3,940.32 : x
  2. Step 2: Convert to fraction form
    11,731.68/17,600.10 = 3,940.32/x
  3. Step 3: Cross multiply
    11,731.68x = 17,600.10 × 3,940.32
  4. Step 4: Simplify right side
    11,731.68x = 69,350,026.03
  5. Step 5: Solve for x
    x = 69,350,026.03/11,731.68
  6. Step 6: Final answer
    x = 5,911.35

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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.