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Finding the Fourth Proportional to 4,738.82, 7,109.13 and 2,141.75

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Solution

The fourth proportional to 4,738.82, 7,109.13 and 2,141.75 is: 3,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.82 : 7,109.13 = 2,141.75 : x
  2. Step 2: Convert to fraction form
    4,738.82/7,109.13 = 2,141.75/x
  3. Step 3: Cross multiply
    4,738.82x = 7,109.13 × 2,141.75
  4. Step 4: Simplify right side
    4,738.82x = 15,225,979.18
  5. Step 5: Solve for x
    x = 15,225,979.18/4,738.82
  6. Step 6: Final answer
    x = 3,213.03

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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.