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Finding the Fourth Proportional to 5,057.64, 6,978.56 and 3,069.09

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Solution

The fourth proportional to 5,057.64, 6,978.56 and 3,069.09 is: 4,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.64 : 6,978.56 = 3,069.09 : x
  2. Step 2: Convert to fraction form
    5,057.64/6,978.56 = 3,069.09/x
  3. Step 3: Cross multiply
    5,057.64x = 6,978.56 × 3,069.09
  4. Step 4: Simplify right side
    5,057.64x = 21,417,813.36
  5. Step 5: Solve for x
    x = 21,417,813.36/5,057.64
  6. Step 6: Final answer
    x = 4,234.74

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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.