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Finding the Fourth Proportional to 8,480.80, 12,696.90 and 5,200.30

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Solution

The fourth proportional to 8,480.80, 12,696.90 and 5,200.30 is: 7,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.80 : 12,696.90 = 5,200.30 : x
  2. Step 2: Convert to fraction form
    8,480.80/12,696.90 = 5,200.30/x
  3. Step 3: Cross multiply
    8,480.80x = 12,696.90 × 5,200.30
  4. Step 4: Simplify right side
    8,480.80x = 66,027,689.07
  5. Step 5: Solve for x
    x = 66,027,689.07/8,480.80
  6. Step 6: Final answer
    x = 7,785.55

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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.