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Finding the Fourth Proportional to 17,778.39, 26,649 and 7,243.89

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Solution

The fourth proportional to 17,778.39, 26,649 and 7,243.89 is: 10,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.39 : 26,649 = 7,243.89 : x
  2. Step 2: Convert to fraction form
    17,778.39/26,649 = 7,243.89/x
  3. Step 3: Cross multiply
    17,778.39x = 26,649 × 7,243.89
  4. Step 4: Simplify right side
    17,778.39x = 193,042,424.61
  5. Step 5: Solve for x
    x = 193,042,424.61/17,778.39
  6. Step 6: Final answer
    x = 10,858.26

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1.5x scale

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.