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Finding the Fourth Proportional to 2,563.75, 3,845.27 and 920.06

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Solution

The fourth proportional to 2,563.75, 3,845.27 and 920.06 is: 1,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.75 : 3,845.27 = 920.06 : x
  2. Step 2: Convert to fraction form
    2,563.75/3,845.27 = 920.06/x
  3. Step 3: Cross multiply
    2,563.75x = 3,845.27 × 920.06
  4. Step 4: Simplify right side
    2,563.75x = 3,537,876.61
  5. Step 5: Solve for x
    x = 3,537,876.61/2,563.75
  6. Step 6: Final answer
    x = 1,379.96

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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.