Home / 1,771.83-2,446.26-1,142.61

Finding the Fourth Proportional to 1,771.83, 2,446.26 and 1,142.61

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Solution

The fourth proportional to 1,771.83, 2,446.26 and 1,142.61 is: 1,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.83 : 2,446.26 = 1,142.61 : x
  2. Step 2: Convert to fraction form
    1,771.83/2,446.26 = 1,142.61/x
  3. Step 3: Cross multiply
    1,771.83x = 2,446.26 × 1,142.61
  4. Step 4: Simplify right side
    1,771.83x = 2,795,121.14
  5. Step 5: Solve for x
    x = 2,795,121.14/1,771.83
  6. Step 6: Final answer
    x = 1,577.53

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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.