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Finding the Fourth Proportional to 8,205.60, 11,517 and 8,205.60

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Solution

The fourth proportional to 8,205.60, 11,517 and 8,205.60 is: 11,517

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.60 : 11,517 = 8,205.60 : x
  2. Step 2: Convert to fraction form
    8,205.60/11,517 = 8,205.60/x
  3. Step 3: Cross multiply
    8,205.60x = 11,517 × 8,205.60
  4. Step 4: Simplify right side
    8,205.60x = 94,503,895.20
  5. Step 5: Solve for x
    x = 94,503,895.20/8,205.60
  6. Step 6: Final answer
    x = 11,517

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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.