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Finding the Fourth Proportional to 2,778.69, 3,834.63 and 1,519.74

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Solution

The fourth proportional to 2,778.69, 3,834.63 and 1,519.74 is: 2,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.69 : 3,834.63 = 1,519.74 : x
  2. Step 2: Convert to fraction form
    2,778.69/3,834.63 = 1,519.74/x
  3. Step 3: Cross multiply
    2,778.69x = 3,834.63 × 1,519.74
  4. Step 4: Simplify right side
    2,778.69x = 5,827,640.60
  5. Step 5: Solve for x
    x = 5,827,640.60/2,778.69
  6. Step 6: Final answer
    x = 2,097.26

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1.5x scale

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.