Home / 2,119.80-3,178.40-949.16

Finding the Fourth Proportional to 2,119.80, 3,178.40 and 949.16

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Solution

The fourth proportional to 2,119.80, 3,178.40 and 949.16 is: 1,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.80 : 3,178.40 = 949.16 : x
  2. Step 2: Convert to fraction form
    2,119.80/3,178.40 = 949.16/x
  3. Step 3: Cross multiply
    2,119.80x = 3,178.40 × 949.16
  4. Step 4: Simplify right side
    2,119.80x = 3,016,810.14
  5. Step 5: Solve for x
    x = 3,016,810.14/2,119.80
  6. Step 6: Final answer
    x = 1,423.16

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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.