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Finding the Fourth Proportional to 1,721.92, 2,581.92 and 899.32

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Solution

The fourth proportional to 1,721.92, 2,581.92 and 899.32 is: 1,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.92 : 2,581.92 = 899.32 : x
  2. Step 2: Convert to fraction form
    1,721.92/2,581.92 = 899.32/x
  3. Step 3: Cross multiply
    1,721.92x = 2,581.92 × 899.32
  4. Step 4: Simplify right side
    1,721.92x = 2,321,972.29
  5. Step 5: Solve for x
    x = 2,321,972.29/1,721.92
  6. Step 6: Final answer
    x = 1,348.48

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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.