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Finding the Fourth Proportional to 1,827.65, 2,745.11 and 1,135.10

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Solution

The fourth proportional to 1,827.65, 2,745.11 and 1,135.10 is: 1,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.65 : 2,745.11 = 1,135.10 : x
  2. Step 2: Convert to fraction form
    1,827.65/2,745.11 = 1,135.10/x
  3. Step 3: Cross multiply
    1,827.65x = 2,745.11 × 1,135.10
  4. Step 4: Simplify right side
    1,827.65x = 3,115,963.47
  5. Step 5: Solve for x
    x = 3,115,963.47/1,827.65
  6. Step 6: Final answer
    x = 1,704.91

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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.