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Finding the Fourth Proportional to 5,640.99, 8,462.61 and 1,745.25

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Solution

The fourth proportional to 5,640.99, 8,462.61 and 1,745.25 is: 2,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.99 : 8,462.61 = 1,745.25 : x
  2. Step 2: Convert to fraction form
    5,640.99/8,462.61 = 1,745.25/x
  3. Step 3: Cross multiply
    5,640.99x = 8,462.61 × 1,745.25
  4. Step 4: Simplify right side
    5,640.99x = 14,769,370.10
  5. Step 5: Solve for x
    x = 14,769,370.10/5,640.99
  6. Step 6: Final answer
    x = 2,618.22

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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.