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Finding the Fourth Proportional to 8,202.60, 11,512.80 and 8,202.60

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Solution

The fourth proportional to 8,202.60, 11,512.80 and 8,202.60 is: 11,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.60 : 11,512.80 = 8,202.60 : x
  2. Step 2: Convert to fraction form
    8,202.60/11,512.80 = 8,202.60/x
  3. Step 3: Cross multiply
    8,202.60x = 11,512.80 × 8,202.60
  4. Step 4: Simplify right side
    8,202.60x = 94,434,893.28
  5. Step 5: Solve for x
    x = 94,434,893.28/8,202.60
  6. Step 6: Final answer
    x = 11,512.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.