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Finding the Fourth Proportional to 1,832.10, 2,747.82 and 907.36

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Solution

The fourth proportional to 1,832.10, 2,747.82 and 907.36 is: 1,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.10 : 2,747.82 = 907.36 : x
  2. Step 2: Convert to fraction form
    1,832.10/2,747.82 = 907.36/x
  3. Step 3: Cross multiply
    1,832.10x = 2,747.82 × 907.36
  4. Step 4: Simplify right side
    1,832.10x = 2,493,261.96
  5. Step 5: Solve for x
    x = 2,493,261.96/1,832.10
  6. Step 6: Final answer
    x = 1,360.88

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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.