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Finding the Fourth Proportional to 2,830.89, 3,906.45 and 1,571.89

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Solution

The fourth proportional to 2,830.89, 3,906.45 and 1,571.89 is: 2,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.89 : 3,906.45 = 1,571.89 : x
  2. Step 2: Convert to fraction form
    2,830.89/3,906.45 = 1,571.89/x
  3. Step 3: Cross multiply
    2,830.89x = 3,906.45 × 1,571.89
  4. Step 4: Simplify right side
    2,830.89x = 6,140,509.69
  5. Step 5: Solve for x
    x = 6,140,509.69/2,830.89
  6. Step 6: Final answer
    x = 2,169.11

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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.