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Finding the Fourth Proportional to 4,964.12, 7,431.54 and 3,109.64

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Solution

The fourth proportional to 4,964.12, 7,431.54 and 3,109.64 is: 4,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.12 : 7,431.54 = 3,109.64 : x
  2. Step 2: Convert to fraction form
    4,964.12/7,431.54 = 3,109.64/x
  3. Step 3: Cross multiply
    4,964.12x = 7,431.54 × 3,109.64
  4. Step 4: Simplify right side
    4,964.12x = 23,109,414.05
  5. Step 5: Solve for x
    x = 23,109,414.05/4,964.12
  6. Step 6: Final answer
    x = 4,655.29

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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.