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Finding the Fourth Proportional to 2,571.05, 3,854.25 and 926.45

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Solution

The fourth proportional to 2,571.05, 3,854.25 and 926.45 is: 1,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.05 : 3,854.25 = 926.45 : x
  2. Step 2: Convert to fraction form
    2,571.05/3,854.25 = 926.45/x
  3. Step 3: Cross multiply
    2,571.05x = 3,854.25 × 926.45
  4. Step 4: Simplify right side
    2,571.05x = 3,570,750.64
  5. Step 5: Solve for x
    x = 3,570,750.64/2,571.05
  6. Step 6: Final answer
    x = 1,388.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.