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Finding the Fourth Proportional to 17,777, 26,669.82 and 5,465

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Solution

The fourth proportional to 17,777, 26,669.82 and 5,465 is: 8,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777 : 26,669.82 = 5,465 : x
  2. Step 2: Convert to fraction form
    17,777/26,669.82 = 5,465/x
  3. Step 3: Cross multiply
    17,777x = 26,669.82 × 5,465
  4. Step 4: Simplify right side
    17,777x = 145,750,566.30
  5. Step 5: Solve for x
    x = 145,750,566.30/17,777
  6. Step 6: Final answer
    x = 8,198.83

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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.