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Finding the Fourth Proportional to 3,511.71, 4,845.78 and 2,019.30

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Solution

The fourth proportional to 3,511.71, 4,845.78 and 2,019.30 is: 2,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.71 : 4,845.78 = 2,019.30 : x
  2. Step 2: Convert to fraction form
    3,511.71/4,845.78 = 2,019.30/x
  3. Step 3: Cross multiply
    3,511.71x = 4,845.78 × 2,019.30
  4. Step 4: Simplify right side
    3,511.71x = 9,785,083.55
  5. Step 5: Solve for x
    x = 9,785,083.55/3,511.71
  6. Step 6: Final answer
    x = 2,786.42

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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.