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Finding the Fourth Proportional to 3,951.80, 5,919.90 and 2,005.40

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Solution

The fourth proportional to 3,951.80, 5,919.90 and 2,005.40 is: 3,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.80 : 5,919.90 = 2,005.40 : x
  2. Step 2: Convert to fraction form
    3,951.80/5,919.90 = 2,005.40/x
  3. Step 3: Cross multiply
    3,951.80x = 5,919.90 × 2,005.40
  4. Step 4: Simplify right side
    3,951.80x = 11,871,767.46
  5. Step 5: Solve for x
    x = 11,871,767.46/3,951.80
  6. Step 6: Final answer
    x = 3,004.14

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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.