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Finding the Fourth Proportional to 1,872.56, 2,805.72 and 1,323.62

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Solution

The fourth proportional to 1,872.56, 2,805.72 and 1,323.62 is: 1,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.56 : 2,805.72 = 1,323.62 : x
  2. Step 2: Convert to fraction form
    1,872.56/2,805.72 = 1,323.62/x
  3. Step 3: Cross multiply
    1,872.56x = 2,805.72 × 1,323.62
  4. Step 4: Simplify right side
    1,872.56x = 3,713,707.11
  5. Step 5: Solve for x
    x = 3,713,707.11/1,872.56
  6. Step 6: Final answer
    x = 1,983.22

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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.