Home / 1,974.64-2,960.12-1,242

Finding the Fourth Proportional to 1,974.64, 2,960.12 and 1,242

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Solution

The fourth proportional to 1,974.64, 2,960.12 and 1,242 is: 1,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.64 : 2,960.12 = 1,242 : x
  2. Step 2: Convert to fraction form
    1,974.64/2,960.12 = 1,242/x
  3. Step 3: Cross multiply
    1,974.64x = 2,960.12 × 1,242
  4. Step 4: Simplify right side
    1,974.64x = 3,676,469.04
  5. Step 5: Solve for x
    x = 3,676,469.04/1,974.64
  6. Step 6: Final answer
    x = 1,861.84

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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.