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Finding the Fourth Proportional to 2,830.71, 3,906.03 and 1,651.62

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Solution

The fourth proportional to 2,830.71, 3,906.03 and 1,651.62 is: 2,279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.71 : 3,906.03 = 1,651.62 : x
  2. Step 2: Convert to fraction form
    2,830.71/3,906.03 = 1,651.62/x
  3. Step 3: Cross multiply
    2,830.71x = 3,906.03 × 1,651.62
  4. Step 4: Simplify right side
    2,830.71x = 6,451,277.27
  5. Step 5: Solve for x
    x = 6,451,277.27/2,830.71
  6. Step 6: Final answer
    x = 2,279.03

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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.