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Finding the Fourth Proportional to 4,110.69, 6,169.69 and 1,920.65

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Solution

The fourth proportional to 4,110.69, 6,169.69 and 1,920.65 is: 2,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,110.69 : 6,169.69 = 1,920.65 : x
  2. Step 2: Convert to fraction form
    4,110.69/6,169.69 = 1,920.65/x
  3. Step 3: Cross multiply
    4,110.69x = 6,169.69 × 1,920.65
  4. Step 4: Simplify right side
    4,110.69x = 11,849,815.10
  5. Step 5: Solve for x
    x = 11,849,815.10/4,110.69
  6. Step 6: Final answer
    x = 2,882.68

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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.