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Finding the Fourth Proportional to 3,892.75, 5,837.67 and 1,259.44

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Solution

The fourth proportional to 3,892.75, 5,837.67 and 1,259.44 is: 1,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.75 : 5,837.67 = 1,259.44 : x
  2. Step 2: Convert to fraction form
    3,892.75/5,837.67 = 1,259.44/x
  3. Step 3: Cross multiply
    3,892.75x = 5,837.67 × 1,259.44
  4. Step 4: Simplify right side
    3,892.75x = 7,352,195.10
  5. Step 5: Solve for x
    x = 7,352,195.10/3,892.75
  6. Step 6: Final answer
    x = 1,888.69

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1.5x scale

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.