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Finding the Fourth Proportional to 8,268.58, 12,403.50 and 3,074.50

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Solution

The fourth proportional to 8,268.58, 12,403.50 and 3,074.50 is: 4,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.58 : 12,403.50 = 3,074.50 : x
  2. Step 2: Convert to fraction form
    8,268.58/12,403.50 = 3,074.50/x
  3. Step 3: Cross multiply
    8,268.58x = 12,403.50 × 3,074.50
  4. Step 4: Simplify right side
    8,268.58x = 38,134,560.75
  5. Step 5: Solve for x
    x = 38,134,560.75/8,268.58
  6. Step 6: Final answer
    x = 4,611.98

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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.