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Finding the Fourth Proportional to 5,057, 6,978.66 and 2,849

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Solution

The fourth proportional to 5,057, 6,978.66 and 2,849 is: 3,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057 : 6,978.66 = 2,849 : x
  2. Step 2: Convert to fraction form
    5,057/6,978.66 = 2,849/x
  3. Step 3: Cross multiply
    5,057x = 6,978.66 × 2,849
  4. Step 4: Simplify right side
    5,057x = 19,882,202.34
  5. Step 5: Solve for x
    x = 19,882,202.34/5,057
  6. Step 6: Final answer
    x = 3,931.62

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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.