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Finding the Fourth Proportional to 2,564.26, 3,844.08 and 920.42

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Solution

The fourth proportional to 2,564.26, 3,844.08 and 920.42 is: 1,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.26 : 3,844.08 = 920.42 : x
  2. Step 2: Convert to fraction form
    2,564.26/3,844.08 = 920.42/x
  3. Step 3: Cross multiply
    2,564.26x = 3,844.08 × 920.42
  4. Step 4: Simplify right side
    2,564.26x = 3,538,168.11
  5. Step 5: Solve for x
    x = 3,538,168.11/2,564.26
  6. Step 6: Final answer
    x = 1,379.80

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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.