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Finding the Fourth Proportional to 5,694.74, 7,857.74 and 3,176.30

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Solution

The fourth proportional to 5,694.74, 7,857.74 and 3,176.30 is: 4,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.74 : 7,857.74 = 3,176.30 : x
  2. Step 2: Convert to fraction form
    5,694.74/7,857.74 = 3,176.30/x
  3. Step 3: Cross multiply
    5,694.74x = 7,857.74 × 3,176.30
  4. Step 4: Simplify right side
    5,694.74x = 24,958,539.56
  5. Step 5: Solve for x
    x = 24,958,539.56/5,694.74
  6. Step 6: Final answer
    x = 4,382.74

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1.5x scale

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.