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Finding the Fourth Proportional to 8,524.77, 12,784.15 and 3,261.25

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Solution

The fourth proportional to 8,524.77, 12,784.15 and 3,261.25 is: 4,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.77 : 12,784.15 = 3,261.25 : x
  2. Step 2: Convert to fraction form
    8,524.77/12,784.15 = 3,261.25/x
  3. Step 3: Cross multiply
    8,524.77x = 12,784.15 × 3,261.25
  4. Step 4: Simplify right side
    8,524.77x = 41,692,309.19
  5. Step 5: Solve for x
    x = 41,692,309.19/8,524.77
  6. Step 6: Final answer
    x = 4,890.73

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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.