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Finding the Fourth Proportional to 1,777.62, 2,666.43 and 1,161.61

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Solution

The fourth proportional to 1,777.62, 2,666.43 and 1,161.61 is: 1,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.62 : 2,666.43 = 1,161.61 : x
  2. Step 2: Convert to fraction form
    1,777.62/2,666.43 = 1,161.61/x
  3. Step 3: Cross multiply
    1,777.62x = 2,666.43 × 1,161.61
  4. Step 4: Simplify right side
    1,777.62x = 3,097,351.75
  5. Step 5: Solve for x
    x = 3,097,351.75/1,777.62
  6. Step 6: Final answer
    x = 1,742.42

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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.