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Finding the Fourth Proportional to 1,945.03, 2,914.80 and 905.35

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Solution

The fourth proportional to 1,945.03, 2,914.80 and 905.35 is: 1,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.03 : 2,914.80 = 905.35 : x
  2. Step 2: Convert to fraction form
    1,945.03/2,914.80 = 905.35/x
  3. Step 3: Cross multiply
    1,945.03x = 2,914.80 × 905.35
  4. Step 4: Simplify right side
    1,945.03x = 2,638,914.18
  5. Step 5: Solve for x
    x = 2,638,914.18/1,945.03
  6. Step 6: Final answer
    x = 1,356.75

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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.