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Finding the Fourth Proportional to 1,821.44, 2,731.08 and 726.32

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Solution

The fourth proportional to 1,821.44, 2,731.08 and 726.32 is: 1,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.44 : 2,731.08 = 726.32 : x
  2. Step 2: Convert to fraction form
    1,821.44/2,731.08 = 726.32/x
  3. Step 3: Cross multiply
    1,821.44x = 2,731.08 × 726.32
  4. Step 4: Simplify right side
    1,821.44x = 1,983,638.03
  5. Step 5: Solve for x
    x = 1,983,638.03/1,821.44
  6. Step 6: Final answer
    x = 1,089.05

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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.