Home / 3,382.38-5,076-2,084.76

Finding the Fourth Proportional to 3,382.38, 5,076 and 2,084.76

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Solution

The fourth proportional to 3,382.38, 5,076 and 2,084.76 is: 3,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.38 : 5,076 = 2,084.76 : x
  2. Step 2: Convert to fraction form
    3,382.38/5,076 = 2,084.76/x
  3. Step 3: Cross multiply
    3,382.38x = 5,076 × 2,084.76
  4. Step 4: Simplify right side
    3,382.38x = 10,582,241.76
  5. Step 5: Solve for x
    x = 10,582,241.76/3,382.38
  6. Step 6: Final answer
    x = 3,128.64

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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.