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Finding the Fourth Proportional to 8,163.60, 12,245.40 and 7,677.60

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Solution

The fourth proportional to 8,163.60, 12,245.40 and 7,677.60 is: 11,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.60 : 12,245.40 = 7,677.60 : x
  2. Step 2: Convert to fraction form
    8,163.60/12,245.40 = 7,677.60/x
  3. Step 3: Cross multiply
    8,163.60x = 12,245.40 × 7,677.60
  4. Step 4: Simplify right side
    8,163.60x = 94,015,283.04
  5. Step 5: Solve for x
    x = 94,015,283.04/8,163.60
  6. Step 6: Final answer
    x = 11,516.40

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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.