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Finding the Fourth Proportional to 2,892.85, 3,992.12 and 1,566.55

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Solution

The fourth proportional to 2,892.85, 3,992.12 and 1,566.55 is: 2,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.85 : 3,992.12 = 1,566.55 : x
  2. Step 2: Convert to fraction form
    2,892.85/3,992.12 = 1,566.55/x
  3. Step 3: Cross multiply
    2,892.85x = 3,992.12 × 1,566.55
  4. Step 4: Simplify right side
    2,892.85x = 6,253,860.93
  5. Step 5: Solve for x
    x = 6,253,860.93/2,892.85
  6. Step 6: Final answer
    x = 2,161.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.