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Finding the Fourth Proportional to 1,826.34, 2,739.98 and 731.44

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Solution

The fourth proportional to 1,826.34, 2,739.98 and 731.44 is: 1,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.34 : 2,739.98 = 731.44 : x
  2. Step 2: Convert to fraction form
    1,826.34/2,739.98 = 731.44/x
  3. Step 3: Cross multiply
    1,826.34x = 2,739.98 × 731.44
  4. Step 4: Simplify right side
    1,826.34x = 2,004,130.97
  5. Step 5: Solve for x
    x = 2,004,130.97/1,826.34
  6. Step 6: Final answer
    x = 1,097.35

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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.