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Finding the Fourth Proportional to 7,769.10, 11,658.10 and 2,838.08

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Solution

The fourth proportional to 7,769.10, 11,658.10 and 2,838.08 is: 4,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.10 : 11,658.10 = 2,838.08 : x
  2. Step 2: Convert to fraction form
    7,769.10/11,658.10 = 2,838.08/x
  3. Step 3: Cross multiply
    7,769.10x = 11,658.10 × 2,838.08
  4. Step 4: Simplify right side
    7,769.10x = 33,086,620.45
  5. Step 5: Solve for x
    x = 33,086,620.45/7,769.10
  6. Step 6: Final answer
    x = 4,258.75

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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.