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Finding the Fourth Proportional to 1,845.62, 2,769.31 and 921.31

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Solution

The fourth proportional to 1,845.62, 2,769.31 and 921.31 is: 1,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.62 : 2,769.31 = 921.31 : x
  2. Step 2: Convert to fraction form
    1,845.62/2,769.31 = 921.31/x
  3. Step 3: Cross multiply
    1,845.62x = 2,769.31 × 921.31
  4. Step 4: Simplify right side
    1,845.62x = 2,551,387.22
  5. Step 5: Solve for x
    x = 2,551,387.22/1,845.62
  6. Step 6: Final answer
    x = 1,382.40

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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.