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Finding the Fourth Proportional to 2,778.71, 3,834.68 and 1,519.83

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Solution

The fourth proportional to 2,778.71, 3,834.68 and 1,519.83 is: 2,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.71 : 3,834.68 = 1,519.83 : x
  2. Step 2: Convert to fraction form
    2,778.71/3,834.68 = 1,519.83/x
  3. Step 3: Cross multiply
    2,778.71x = 3,834.68 × 1,519.83
  4. Step 4: Simplify right side
    2,778.71x = 5,828,054.11
  5. Step 5: Solve for x
    x = 5,828,054.11/2,778.71
  6. Step 6: Final answer
    x = 2,097.40

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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.