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Finding the Fourth Proportional to 3,057.80, 4,578 and 2,118.64

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Solution

The fourth proportional to 3,057.80, 4,578 and 2,118.64 is: 3,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.80 : 4,578 = 2,118.64 : x
  2. Step 2: Convert to fraction form
    3,057.80/4,578 = 2,118.64/x
  3. Step 3: Cross multiply
    3,057.80x = 4,578 × 2,118.64
  4. Step 4: Simplify right side
    3,057.80x = 9,699,133.92
  5. Step 5: Solve for x
    x = 9,699,133.92/3,057.80
  6. Step 6: Final answer
    x = 3,171.93

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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.