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Finding the Fourth Proportional to 2,755.25, 4,133.14 and 906.37

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Solution

The fourth proportional to 2,755.25, 4,133.14 and 906.37 is: 1,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.25 : 4,133.14 = 906.37 : x
  2. Step 2: Convert to fraction form
    2,755.25/4,133.14 = 906.37/x
  3. Step 3: Cross multiply
    2,755.25x = 4,133.14 × 906.37
  4. Step 4: Simplify right side
    2,755.25x = 3,746,154.10
  5. Step 5: Solve for x
    x = 3,746,154.10/2,755.25
  6. Step 6: Final answer
    x = 1,359.64

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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.