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Finding the Fourth Proportional to 11,799, 17,695.26 and 4,406.40

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Solution

The fourth proportional to 11,799, 17,695.26 and 4,406.40 is: 6,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799 : 17,695.26 = 4,406.40 : x
  2. Step 2: Convert to fraction form
    11,799/17,695.26 = 4,406.40/x
  3. Step 3: Cross multiply
    11,799x = 17,695.26 × 4,406.40
  4. Step 4: Simplify right side
    11,799x = 77,972,393.66
  5. Step 5: Solve for x
    x = 77,972,393.66/11,799
  6. Step 6: Final answer
    x = 6,608.39

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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.