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Finding the Fourth Proportional to 5,640.80, 8,461.12 and 1,745.20

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Solution

The fourth proportional to 5,640.80, 8,461.12 and 1,745.20 is: 2,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.80 : 8,461.12 = 1,745.20 : x
  2. Step 2: Convert to fraction form
    5,640.80/8,461.12 = 1,745.20/x
  3. Step 3: Cross multiply
    5,640.80x = 8,461.12 × 1,745.20
  4. Step 4: Simplify right side
    5,640.80x = 14,766,346.62
  5. Step 5: Solve for x
    x = 14,766,346.62/5,640.80
  6. Step 6: Final answer
    x = 2,617.78

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1.5x scale

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.