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Finding the Fourth Proportional to 8,383.58, 12,577.23 and 3,189.50

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Solution

The fourth proportional to 8,383.58, 12,577.23 and 3,189.50 is: 4,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.58 : 12,577.23 = 3,189.50 : x
  2. Step 2: Convert to fraction form
    8,383.58/12,577.23 = 3,189.50/x
  3. Step 3: Cross multiply
    8,383.58x = 12,577.23 × 3,189.50
  4. Step 4: Simplify right side
    8,383.58x = 40,115,075.09
  5. Step 5: Solve for x
    x = 40,115,075.09/8,383.58
  6. Step 6: Final answer
    x = 4,784.96

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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.