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Finding the Fourth Proportional to 5,640.67, 8,461.81 and 1,745.38

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Solution

The fourth proportional to 5,640.67, 8,461.81 and 1,745.38 is: 2,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.67 : 8,461.81 = 1,745.38 : x
  2. Step 2: Convert to fraction form
    5,640.67/8,461.81 = 1,745.38/x
  3. Step 3: Cross multiply
    5,640.67x = 8,461.81 × 1,745.38
  4. Step 4: Simplify right side
    5,640.67x = 14,769,031.63
  5. Step 5: Solve for x
    x = 14,769,031.63/5,640.67
  6. Step 6: Final answer
    x = 2,618.31

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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.