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Finding the Fourth Proportional to 5,480.52, 8,221.22 and 1,782.66

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Solution

The fourth proportional to 5,480.52, 8,221.22 and 1,782.66 is: 2,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.52 : 8,221.22 = 1,782.66 : x
  2. Step 2: Convert to fraction form
    5,480.52/8,221.22 = 1,782.66/x
  3. Step 3: Cross multiply
    5,480.52x = 8,221.22 × 1,782.66
  4. Step 4: Simplify right side
    5,480.52x = 14,655,640.05
  5. Step 5: Solve for x
    x = 14,655,640.05/5,480.52
  6. Step 6: Final answer
    x = 2,674.13

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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.