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Finding the Fourth Proportional to 4,769.82, 7,157.79 and 2,580.12

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Solution

The fourth proportional to 4,769.82, 7,157.79 and 2,580.12 is: 3,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.82 : 7,157.79 = 2,580.12 : x
  2. Step 2: Convert to fraction form
    4,769.82/7,157.79 = 2,580.12/x
  3. Step 3: Cross multiply
    4,769.82x = 7,157.79 × 2,580.12
  4. Step 4: Simplify right side
    4,769.82x = 18,467,957.13
  5. Step 5: Solve for x
    x = 18,467,957.13/4,769.82
  6. Step 6: Final answer
    x = 3,871.84

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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.