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Finding the Fourth Proportional to 2,755.58, 4,133.64 and 905.94

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Solution

The fourth proportional to 2,755.58, 4,133.64 and 905.94 is: 1,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.58 : 4,133.64 = 905.94 : x
  2. Step 2: Convert to fraction form
    2,755.58/4,133.64 = 905.94/x
  3. Step 3: Cross multiply
    2,755.58x = 4,133.64 × 905.94
  4. Step 4: Simplify right side
    2,755.58x = 3,744,825.29
  5. Step 5: Solve for x
    x = 3,744,825.29/2,755.58
  6. Step 6: Final answer
    x = 1,359.00

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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.