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Finding the Fourth Proportional to 2,830.74, 3,906.62 and 1,571.92

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Solution

The fourth proportional to 2,830.74, 3,906.62 and 1,571.92 is: 2,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.74 : 3,906.62 = 1,571.92 : x
  2. Step 2: Convert to fraction form
    2,830.74/3,906.62 = 1,571.92/x
  3. Step 3: Cross multiply
    2,830.74x = 3,906.62 × 1,571.92
  4. Step 4: Simplify right side
    2,830.74x = 6,140,894.11
  5. Step 5: Solve for x
    x = 6,140,894.11/2,830.74
  6. Step 6: Final answer
    x = 2,169.36

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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.