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Finding the Fourth Proportional to 7,763.38, 11,645.10 and 1,919.97

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Solution

The fourth proportional to 7,763.38, 11,645.10 and 1,919.97 is: 2,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.38 : 11,645.10 = 1,919.97 : x
  2. Step 2: Convert to fraction form
    7,763.38/11,645.10 = 1,919.97/x
  3. Step 3: Cross multiply
    7,763.38x = 11,645.10 × 1,919.97
  4. Step 4: Simplify right side
    7,763.38x = 22,358,242.65
  5. Step 5: Solve for x
    x = 22,358,242.65/7,763.38
  6. Step 6: Final answer
    x = 2,879.96

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1.5x scale

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.