Home / 1,942.85-2,680.08-1,156.75

Finding the Fourth Proportional to 1,942.85, 2,680.08 and 1,156.75

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Solution

The fourth proportional to 1,942.85, 2,680.08 and 1,156.75 is: 1,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.85 : 2,680.08 = 1,156.75 : x
  2. Step 2: Convert to fraction form
    1,942.85/2,680.08 = 1,156.75/x
  3. Step 3: Cross multiply
    1,942.85x = 2,680.08 × 1,156.75
  4. Step 4: Simplify right side
    1,942.85x = 3,100,169.14
  5. Step 5: Solve for x
    x = 3,100,169.14/1,942.85
  6. Step 6: Final answer
    x = 1,595.68

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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.