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Finding the Fourth Proportional to 17,770.68, 26,650.62 and 7,380

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Solution

The fourth proportional to 17,770.68, 26,650.62 and 7,380 is: 11,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.68 : 26,650.62 = 7,380 : x
  2. Step 2: Convert to fraction form
    17,770.68/26,650.62 = 7,380/x
  3. Step 3: Cross multiply
    17,770.68x = 26,650.62 × 7,380
  4. Step 4: Simplify right side
    17,770.68x = 196,681,575.60
  5. Step 5: Solve for x
    x = 196,681,575.60/17,770.68
  6. Step 6: Final answer
    x = 11,067.76

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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.