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Finding the Fourth Proportional to 3,857.46, 5,791.49 and 1,984.89

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Solution

The fourth proportional to 3,857.46, 5,791.49 and 1,984.89 is: 2,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.46 : 5,791.49 = 1,984.89 : x
  2. Step 2: Convert to fraction form
    3,857.46/5,791.49 = 1,984.89/x
  3. Step 3: Cross multiply
    3,857.46x = 5,791.49 × 1,984.89
  4. Step 4: Simplify right side
    3,857.46x = 11,495,460.66
  5. Step 5: Solve for x
    x = 11,495,460.66/3,857.46
  6. Step 6: Final answer
    x = 2,980.06

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1.5x scale

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.