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Finding the Fourth Proportional to 2,047.79, 3,069.29 and 949.85

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Solution

The fourth proportional to 2,047.79, 3,069.29 and 949.85 is: 1,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.79 : 3,069.29 = 949.85 : x
  2. Step 2: Convert to fraction form
    2,047.79/3,069.29 = 949.85/x
  3. Step 3: Cross multiply
    2,047.79x = 3,069.29 × 949.85
  4. Step 4: Simplify right side
    2,047.79x = 2,915,345.01
  5. Step 5: Solve for x
    x = 2,915,345.01/2,047.79
  6. Step 6: Final answer
    x = 1,423.65

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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.