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Finding the Fourth Proportional to 8,782.80, 13,171.50 and 3,236.64

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Solution

The fourth proportional to 8,782.80, 13,171.50 and 3,236.64 is: 4,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.80 : 13,171.50 = 3,236.64 : x
  2. Step 2: Convert to fraction form
    8,782.80/13,171.50 = 3,236.64/x
  3. Step 3: Cross multiply
    8,782.80x = 13,171.50 × 3,236.64
  4. Step 4: Simplify right side
    8,782.80x = 42,631,403.76
  5. Step 5: Solve for x
    x = 42,631,403.76/8,782.80
  6. Step 6: Final answer
    x = 4,853.96

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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.