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Finding the Fourth Proportional to 19,550, 26,979 and 11,166.68

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Solution

The fourth proportional to 19,550, 26,979 and 11,166.68 is: 15,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,550 : 26,979 = 11,166.68 : x
  2. Step 2: Convert to fraction form
    19,550/26,979 = 11,166.68/x
  3. Step 3: Cross multiply
    19,550x = 26,979 × 11,166.68
  4. Step 4: Simplify right side
    19,550x = 301,265,859.72
  5. Step 5: Solve for x
    x = 301,265,859.72/19,550
  6. Step 6: Final answer
    x = 15,410.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.