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Finding the Fourth Proportional to 3,489.41, 4,813.49 and 2,071.71

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Solution

The fourth proportional to 3,489.41, 4,813.49 and 2,071.71 is: 2,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.41 : 4,813.49 = 2,071.71 : x
  2. Step 2: Convert to fraction form
    3,489.41/4,813.49 = 2,071.71/x
  3. Step 3: Cross multiply
    3,489.41x = 4,813.49 × 2,071.71
  4. Step 4: Simplify right side
    3,489.41x = 9,972,160.55
  5. Step 5: Solve for x
    x = 9,972,160.55/3,489.41
  6. Step 6: Final answer
    x = 2,857.83

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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.