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Finding the Fourth Proportional to 2,969.40, 4,096.48 and 1,789.79

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Solution

The fourth proportional to 2,969.40, 4,096.48 and 1,789.79 is: 2,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.40 : 4,096.48 = 1,789.79 : x
  2. Step 2: Convert to fraction form
    2,969.40/4,096.48 = 1,789.79/x
  3. Step 3: Cross multiply
    2,969.40x = 4,096.48 × 1,789.79
  4. Step 4: Simplify right side
    2,969.40x = 7,331,838.94
  5. Step 5: Solve for x
    x = 7,331,838.94/2,969.40
  6. Step 6: Final answer
    x = 2,469.13

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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.