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Finding the Fourth Proportional to 2,803.14, 4,199.97 and 1,979.94

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Solution

The fourth proportional to 2,803.14, 4,199.97 and 1,979.94 is: 2,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.14 : 4,199.97 = 1,979.94 : x
  2. Step 2: Convert to fraction form
    2,803.14/4,199.97 = 1,979.94/x
  3. Step 3: Cross multiply
    2,803.14x = 4,199.97 × 1,979.94
  4. Step 4: Simplify right side
    2,803.14x = 8,315,688.60
  5. Step 5: Solve for x
    x = 8,315,688.60/2,803.14
  6. Step 6: Final answer
    x = 2,966.56

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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.