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Finding the Fourth Proportional to 2,084.87, 3,127.75 and 604.09

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Solution

The fourth proportional to 2,084.87, 3,127.75 and 604.09 is: 906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.87 : 3,127.75 = 604.09 : x
  2. Step 2: Convert to fraction form
    2,084.87/3,127.75 = 604.09/x
  3. Step 3: Cross multiply
    2,084.87x = 3,127.75 × 604.09
  4. Step 4: Simplify right side
    2,084.87x = 1,889,444.90
  5. Step 5: Solve for x
    x = 1,889,444.90/2,084.87
  6. Step 6: Final answer
    x = 906.26

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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.