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Finding the Fourth Proportional to 3,057.87, 4,219.86 and 1,660.62

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Solution

The fourth proportional to 3,057.87, 4,219.86 and 1,660.62 is: 2,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.87 : 4,219.86 = 1,660.62 : x
  2. Step 2: Convert to fraction form
    3,057.87/4,219.86 = 1,660.62/x
  3. Step 3: Cross multiply
    3,057.87x = 4,219.86 × 1,660.62
  4. Step 4: Simplify right side
    3,057.87x = 7,007,583.91
  5. Step 5: Solve for x
    x = 7,007,583.91/3,057.87
  6. Step 6: Final answer
    x = 2,291.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.